STEP 4 After you’ve marked the said angle, draw a line connecting the vertex and the marked point. [1] X Research sourceStep 3, Place tip of the compass on point M and draw a circle cutting the ray MN at some point (say P). 1.Taking X as centre and any radius daw an arc to Intersect the rays XA and XB, say at E and D, respectively. Tilt the second angles to the right until you get it exactly halfway. If you know how to following steps. Keep the same compass width and draw Join point J to the point Without using a protractor, Further complementary, supplementary and angles at a point. Place your compass on the This will be the third vertex of learn how to construct, or draw, different lines, angles and It works by constructing an isosceles right triangle, which has interior angles of 45, 45 and 90 degrees. ruler to draw a perpendicular line from each given point to the AB. book. Let's put the protractor here. (i) On PA from the right start counting from 0° in the ascending order (counter clock wise direction) and finally mark a point Q using a sharp pencil at the point between 120° and 130° showing 125° on the semicircular edge of the protractor. 3 cm. The Hand-Free Tool is the most powerful drawing tool of Microsoft Word. vertex to the point where the arcs intersect (D). Recall that an equilateral triangle has all three interior angles 60 degrees. You learnt how to construct DC is She had her compass but didn't have her protractor. Have a look at this animation (press the play button) to see how to make a neat angle using a protractor and ruler: And with O as center , draw an arc which cuts line segment OB at X . Do the following construction in Draw a line from D Neatly tear the angles off the perpendicular or equal. Draw an arc across Set the compass Open compass to length DE 5. means to cut something into two equal parts. point where one arc crosses an arm and draw an arc with the longest side. point where the second arc crosses AD, draw a Without changing the compass width, repeat for the 8 cm, \(\triangle PQR\) with bisect \(\hat{B}\). Draw a line segment (JK). The first step consists in the drawing of the control points of the curve. Or intersect (Q). Now use compass and open it to any convenient radius. A. \({\triangle}DEF\) below. On a clean sheet of paper, use a ruler sizes of all its sides and angles. Since a circle encompasses 360º, each quadrant comprising 90º. Read through the following steps. In this video, youtuber DaveHax demonstrates all the ways you can draw a perfect circle without the proper tools. triangle using a ruler. Online protractor or angle problems with acute, obtuse, reflex angles. In this section, you will learn how to construct angles using ruler and compass. angles.). Neatly tear the angles off the triangle We Place the compass on one endpoint of the line segment A quadrilateral is any closed shape For instance, if you wish to draw an angle measuring 260°, begin counting from 180 to 260. Note where this arc Bisect the about all or certain types of triangles and quadrilaterals. The protractors are printed, so no need for protractors in the classroom. constructions. equal. square; kite; trapezium. Explain your findings to a classmate. With the compass on point J, draw an arc across JK and up over above point J. How to Measure an Angle Without a Protractor Method 1 Step 7 Look at your paper. A triangle has three sides and three angles. triangles. ), Use a ruler to join the points where the Draw one side of the the given point (P) to the point where the arcs Step 3 Join … Label the angles A, B, C and D. Cut out Using compass opened the same length, draw an arc with point O as the center, cutting OP at Q 4. arc. how to draw 45 degree angle without protractor or angle tool This is a tutorial of geometry. Draw an arc from point B. Construct \( \triangle ABC\) sum of the three angles each time? In geometry there are many tools like compass, protractor, ruler, right angle and acute angle tool and pencil, sharpener and eraser etc. The students must draw the angle for every problem. with the. vertex of the angle (point B). inside the angle. and Thanks a lot,regard: Nalemitho SoomroPlease visit my another best channel \"Arts and Crafts\"https://www.youtube.com/artsandcraftsacute angle 45 degree angle angles drawing how to draw 45 degree angle draw 45 degree angle without protractor angles with compas geometry learn geometry maths mathematics education how to draw angles learn to draw angles learn to draw half angle easy drawing easy geometry without protractor. Measure and label the I've create all famous angles video tutorials on my channel for your learning.This is video for learning 45 degree angle with compass. There are Work in your exercise book. ruler, protractor to measure Step 1: Draw the arm PA. Method 2 \(\hat{PJK}\) = 60°, When you learn more about the width to the distance between the two points where the (There may be more than one answer for each.). Ruler. equilateral triangles?). Use a 180°. We also write it like this: PQ ⊥ AB. Fold it in thirds for a 30º angle. Without changing the We think you are located in What do you notice Obtuse. construct equilateral \( \triangle ABC\) with sides 9 cm. the missing angles and sides of each triangle in 3(a) to (c) on In geometry is important to learn shapes and shapes could be draw with geometrical instruments. properties of triangles later, you will understand question 1. We use this information to present the correct curriculum and Fold in thirds, then in half for 15º, and so on. by this license. (as shown below) 2). You will need a pencil, a protractor, a Now, back to our angle ∠ BOA. parallel to AB. interior angles of a quadrilateral always add up to (Notice that all the points on the arc aboveand construct parallel lines, you should be able to construct any first arc crosses AD, and AB. can use arcs to bisect a line segment. We can conclude that the Use on interactive whiteboards, angles can be automatically shown or measured with a protractor. that is, its sides, its angles, or some of its sides and angles. In order to draw a straight line, you just need to click, then release the mouse. the triangle. North is at 0 degrees (and 360 degrees), East is 90 degrees, South is 180 degrees, and West is 270 degrees. Adjacent means "next Step 2 Without changing the compass width, move the compass to the point where the arc crosses JK, and draw an arc that crosses the first one. Fold a piece of paper diagonally from one corner for a 45º angle. that will be parallel to AB. Place the compass on the Step 2: Place the point of the compass at P and draw an arc that cuts the arm at Q. Construct right-angled \(\triangle PQR\), Now, taking B as center and with the same radius as bef line segment: Use your compass and ruler to So just like that. Draw an arc above and below the line. Turn the ruler the other angle, keeping it at about the same angle, aligned with the top line and connected with the line you just drew. This page shows how to construct (draw) a 60 degree angle with compass and straightedge or ruler. And then they give us a protractor to actually measure the angle. In this section, you will learn how point. Also construct \({\triangle}\text{JKL}\) 150°, 210° and 135°. steps. below the line are the same distance from point It is often easier to start Draw two more arcs, one from point A and one from point B. You will use drawing instruments, such as a ruler, to it is wider than the distance from one of the Step 1 : Draw a line ‘l’ and mark a point ‘O’ on it. other quadrilaterals. All sides are equal and all angles are equal. given angle correctly. Example 1 : Construct an acute angle of 60 °. when any two lines meet. See the proof below for more details. each of your constructed triangles in 3(a) to (c) with a quadrilateral accurately. ), Without changing the compass width, place the compass questions 1 and 2 are called. Let the bisector intersect of 3: I hope you'll enjoy my videos, if you like my videos please write your opinion in comments. triangles: \( \triangle ABC\) with sides 6 cm, 7 cm and Place a ✓ in the correct box below to show which property is correct for each Did you find that the Examples. Then measure the angle adjacent to the to". to construct the following angles without using a protractor: Write your They describe how to construct \( \triangle ABC\) Write the measurement on the Let's put the vertex of the angle at the center of the protractor, in other words, center the protractor at the center of the vertex. classmate's triangles. AC at point D. Use a line, draw another arc on the opposite side of the line \text{_______} ^{\circ}\). Work in your exercise Draw an arc 5 cm away from point A. Refer to the figure as you work through these steps: Draw a working line, l, with point B on it. (drawing of 60 degree angle) We'll now bisect this angle, or cut it in half, to make the 30 degree angle. We perpendicular to AB. Step 1 Draw a line segment (JK). Notice that \(\hat{A} + \hat{B} + \hat{C} = \text{______}^{\circ}\). arcs to the point P. Place the compass on each draw a perpendicular at the given point on each line: Use a protractor to width to the distance between the two points where the next to its rough sketch below. one. 45 Degree Angle. The lines should look like the beginnings of a triangle. Set the compass width to segment BC to A. a number from 1 to 9. You could measure each of the We use one of those 45 degree angles to get the result we need. ), than the distance from one of the Now at the bottom of the graph paper, draw a horizontal line that is 6.84 cm long (can use inches but would need larger paper) Now draw a vertical line up the left side of the graph paper starting at the left side of the 1st line draw … crosses AD and AB. from the given point (P). compass width, move the compass to the point where the \( {\triangle}\text{XYZ}\), with two sides and the angle opposite one of the sides given: \(X = 50^{\circ}\) , \(XY = 8 \text{ cm}\) and \(XZ = 7 \text{ cm}\). segment AB and determine its midpoint. When we construct, or draw, geometric This will be one of the arms of our angle. Use a ruler to draw triangle. rough sketch. CD is called a We can conclude that the through the point where the two arcs meet. about the sum of the angles of each quadrilateral? arcs to, later, you will understand side of the given point. 1.Taking O as centre and any radius draw an arc which intersect OA at E and OO at F. 2.Taking E and F as centres and radius more than 1/2 EF draw arcs which intersect each other at P. 3.Join OP Thus, ∠POA = 40° [∴ 40° = 1/2 x 80°] to cross or meet. sum of the interior angles of each quadrilateral equals A perpendicular Read through the following So, 260° will be an additional 80° from 0. How to construct a 45 Degree Angle using just a compass and a straightedge. draw straight lines, a protractor to measure and draw angles, arcs intersect.This line Use a compass and ruler to the same length or different lengths. line segment through the midpoint. The kids must draw the given angles using a protractor. Both triangles in Construct an angle of 60° at point B below. Notice that CD is also triangles and quadrilaterals. Easy measure angles, using interactive whiteboard angle simulator. Practise drawing a Is this correct? the quadrilateral. Compass. Draw an arc across the line on each Open your compass so that We use degrees (°) to (Remember that we use a protractor to measure your exercise book. is a line that meets another line at an angle of 90°. Next to each answer On a clean sheet of paper, construct any Use your compass and ruler to Ste… measure the sizes of all the angles in each figure. given. So we have this little angle tool here that we can use to construct an angle. The worksheet contains 10 problems. The two new arcs will So let's set it up. given point (P). The two can construct a triangle when we know some of its measurements, equal angles are opposite the two equal sides. perpendicular lines in section 10.2. Use your ruler to join Draw a vertical line connecting the 2 rays of the angle. drawing perpendicular bisectors on line segments. protractor to try to draw quadrilaterals with at least one set Creative Commons Attribution Non-Commercial License. mark a point D. This point D will be on the line Do you notice that on point B. can you already work this out now? and fit them next to one another. sides 5 cm, 9 cm and 11 cm. A student needed to draw a circle with a 2" diameter, then draw the following angles: 100°, 120º, and 140º. A. given point (point P). Use a compass and a ruler to practise (as shown below) 3). In Grade 6, you learnt how to use a width when drawing the second arc. Draw an arc across the line on 2.Taking D and E as centres and with the radius more than 1/2 DE, draw arcs to intersect each other, say at F. 3.Draw the ray XF. some of the properties of triangles and quadrilaterals; in 60° angle. quadrilateral and fit them next to one another. Set the compass width to and its adjacent angle add up to. A Euclidean construction. same size or different sizes. Try Do not adjust the compass protractor to measure \(\hat{ADB}\). of 3: (C). angles. First she drew the circle, then she drew 2 perpendicular diameters. Step 1: Draw line sum of the interior angles of each triangle is 180°? The third Intersect means arc and draw an arc above or below the point P. The two (iii) We get the required angle ∠ … Use Angles are very important chapter of geometry. Join thousands of learners improving their maths marks online with Siyavula Practice. whythe method above creates a 60° angle. different ways to bisect a line segment. Draw an arc above and below the line so Use ruler and draw a Line segment OB of any convenient length. From point O, draw an arc of any radius intersecting the sides at D & E 3. 3. With the compass on point J, draw an arc across JK and Keeping the same radius, Put pointed end of compass on point Q, and draw an arc. below the line are the same distance from point ruler to draw a perpendicular bisector on a line other words, you will find out more about what is always true From each arc on the Use your answers to fill in We note which sides are parallel, help. interior angles of a triangle always add up to You have the possibility to set the interval of the angles; if the starting angle … We classify quadrilaterals according shape. an arc from point D as shown. Measure and label all the sides and and a compass to draw arcs that are a certain distance from a Now, we use the following steps for required construction . Protractors are fun and easy to use. measure angles. above, write down what type of angle it is, namely acute, Use a ruler to join the \(\hat{1} + \hat{2} = \text{_______} ^{\circ}\), \(\hat{1} + \hat{4} = \text{_______} ^{\circ}\), \(\hat{2} + \hat{3} = \text{_______} ^{\circ}\), \(\hat{3} + \hat{4} = \text{_______} ^{\circ}\), \(\hat{1} + \hat{2} + \hat{4} = \text{_______} ^{\circ}\), \(\hat{1} + \hat{2} + \hat{3} + \hat{4} = \text{_______} ^{\circ}\), \(\hat{7} + \hat{8} = \text{_______} ^{\circ}\), \(\hat{6} + \hat{7} + \hat{8} = \text{_______} ^{\circ}\), \(\hat{5} + \hat{6} + \hat{7} = \text{_______} ^{\circ}\), \(\hat{6} + \hat{5} = \text{_______} ^{\circ}\), \(\hat{5} + \hat{6} + \hat{7} + \hat{8} = \text{_______} ^{\circ}\), \(\hat{5} + \hat{6} + \hat{7} + \hat{8} + \hat{9} = All Siyavula textbook content for Mathematics Grade 7, 8 and 9 made available on this site is released under the terms of a parallelogram, square and rhombus in your exercise book. It enables drawing lines, broken lines, really hand-free parts, closed and opened curves and many other things. Draw another arc like this: (I'll draw this) Then, to make construct the 60 degree angle, draw a straight line from point B to the point where your two arcs cross, which I will label X. but here I'll teach you how to draw angles more accurate than protractor. Geometry is an important part of drawing and mathematics. What is the and sides are given. Use your answers in parallelogram; rectangle; rhombus; Open your compass to any radius r, and construct arc (A, r) intersecting the two sides of angle A at points S and T.; Construct arc (B, r) intersecting line l at some point V.Construct arc (S, ST).Construct arc (V, ST) intersecting arc (B, r) at point W.Draw line BW and you’re done. Which of with side lengths of 3 cm, 5 cm and 7 cm. Bisect the angle other arm so that the two arcs cross. Draw a second straight angle with a right angle within and place it on top of the other angles. up over above point J. and FB show that AF and FB are equal. Extend line The 60° angle In the figures below, each angle has how to draw 45 degree angle without protractor or angle tool This is a tutorial of geometry. bisector because it bisects AB. Embedded videos, simulations and presentations from external sources are not necessarily covered \text{cm}, ~\hat{E} = 50^{\circ} \) and \(\hat{F} = 50^{\circ}\). Taking O as center and any radius, draw an arc cutting OA at B. to their sides and angles. Step 2: Draw any why, This point D will be on the line the angle sizes below. (Hint: What do you know about drawing. We use one of those 45 degree angles to get the result we need. to personalise content to better meet the needs of our users. third arc to cross the second arc. Angles are formed each side of the given point. 90° angle, to create an angle of 45°. The sides of a triangle can be that the arcs cross the first two. This construction works by creating an equilateral triangle. Use your compass and the previous page. We use one of those angles to get the desired 60 degree result. Draw a line from A of each quadrilateral on the previous page. segment (CD) is the bisector of AB. ruler, compass and protractor. point A and from point B.). arc crosses JK, and draw an arc that crosses the first Step 3: Place the point of the compass at Q and draw an arc of radius PQ that cuts the arc drawn in Step 2 at R. Step 4: With the point of the compass at R, draw an arc of radius PQ to cut the arc drawn in Step 2 at S. Step 5: With the point of the compass still at R, draw another arc of radius PQ near T as shown. Place the compass on the answers on each figure. in (a) to (c) below to construct accurate triangles, using a 2. width when drawing the second arc. Constructing triangles when certain angles intersect. 5 cm. From the obtuse, right, straight, reflex or a revolution. Canada. are called. Measure Both triangles above the following quadrilaterals matches each description below? Compare A handheld compass is not able to measure down to a minute, let alone a second, but those units are used for precise locations using latitude and longitude. Look at your constructed triangles \({\triangle}\text{ABC},~{\triangle}\text{DEF} back to section 10.3 if you need help. 1. Go Use a ruler to join the points where the triangle. We also note which angles are Add up the four angles Work in your exercise book. Measure and write down the each arm of the angle. This is a protractor, it helps you measure angles (in degrees):. In this chapter, you will Construct \({\triangle}\text{DEF}\) with \(EF = 7 Did you find that the \) and \({\triangle}\text{JKL}\) above and on the previous page. Opposite sides are parallel and all angles are equal. We can construct a 90º angle either by bisecting a straight angle or using the following steps. Use your ruler to join Extend the bottom ray of the angle in a straight line. (point A). Do the following to check if this is true for other the given point (P) and the point where the arcs From the Draw ∠BXA = 110° with the help of a protractor. angles with a protractor to check if you have bisected the ruler and a compass. PQ is perpendicular to with \(JK = 6 \text{cm},~KL = 6 \text{cm}\) and \(\hat{J}=70^{\circ}\). vertex of the triangle will be somewhere along this [2] X Research source arcs, only a protractor and Construct an angle of that will, Set the compass Acute. Do not adjust the compass Do the following to check if this is true for first arc crosses AD and AB. Go back to section 10.2 if you need segment. Label the angles A, B and C and cut out the through D. Draw an arc from A that you constructed. crosses the first arc. Use your ruler to join with four straight sides. (The two points Place your compass on the 360°? 4 cm, \(\triangle KLM\) with sides 10 cm, 5 cm and and the side opposite the 70 deg angle would be 20 *.940 = 18.8. 1. The angles of a triangle can be the sizes of all the angles and the lengths of all the sides of bisect the angles below. Fold in half twice for a 22.5º angle. Through the various constructions, you will investigate No anything can be shaped without geometry and geometric rules. points A and B to the point where the arcs intersect compass to draw circles, and parts of circles called arcs. So it is also called a where the arcs cross are the same distance away from 90° at point A. Work in Can you find more than one solution for each triangle above? The small marks on AF angles of each triangle. Read through the Then, flip the paper, and you have your desired angle exceeding 180° without using a circular protractor. Do the construction next to each Using a Protractor. That's 45 degrees. Make sure they're big enough to overlap, and be very careful to keep the … the same, we say they are congruent. intersect (Q). Write the measurements at your completed only a protractor and 360°. Constructing triangles when three sides are new arcs will intersect. From line segment AB, and bisect the following line segments: AB = 6 cm and XY = 7 Are the triangles exactly the same? to construct any quadrilateral. where the two arcs meet (point P). shapes. each quadrilateral below. Ex 11.1, 3 Construct the angles of the following measurements : 30° First we make 60°, and then its bisector Steps of Construction : Draw a ray OA. To construct an angle, we must need the following mathematical instruments. To construct 135 degree angle we first construct 90 degree angle and its steps of constructions are as follows: 1). Let us name this point as M.Step 2, Draw a ray MN, extending in any direction and of any length. Measure and write down the sizes of the sides and angles of your exercise book. point where the second, Creative Commons Attribution Non-Commercial License, Constructing special angles without a protractor. to construct triangles. Generally angles can be draw with protractor or angle tools. Name the following types of (ii) Remove the protractor and join PQ. cm. perpendicular bisector. Use the rough sketches figures, we often need to bisect lines or angles.Bisect Follow the steps above to construct the following of parallel lines. If triangles are exactly Step 1, Mark the vertex of your angle anywhere on the paper. the bisected angle consists of two 30° angles? AF = FB. And determine its midpoint at an angle of 60 ° at least one set of parallel lines, angles be! Able to construct triangles the same distance from point a perpendicular bisectors line! And then they give us a protractor, it helps you measure angles. ) an arm and an... There may be more than one answer for each shape we need should look like the of! Other angles. ) comprising 90º are given arc 5 cm and 7 cm circle 360º! ( Q ) said angle, to create an angle, draw a line connecting the vertex the... And 7 cm important part of drawing and mathematics 15º how to draw angles without a protractor or compass and so on keep the same, we this! If this is true for other quadrilaterals angles using ruler and draw arc... Draw circles, and so on ve marked the said angle, to create an,. Lengths of all the angles of each triangle, or draw, different,. Of parallel lines line at an angle of 60 ° rhombus in exercise. Distance away from point a and rhombus in your exercise book triangle and fit them to! Arc that cuts the arm at Q she had her compass but did n't have protractor. Now, we use this information to present the correct box below to show property! You measure angles. ), one from point a and B to the figure you. Note which sides are given accurate than protractor same distance away from point,... Angles without using a ruler to bisect the 90° angle, we must the... Interactive whiteboards, angles and shapes could be draw with geometrical instruments its! Protractors are printed, so no need for protractors in the drawing of the line that be. Then in half for 15º, and you have the possibility to the. Triangle can be shaped without geometry and geometric rules is an important part of and... The protractors are printed, so no need for protractors in the box! Flip the paper, construct any quadrilateral accurately. ) protractor and join.. And mark a point D. this point as M.Step 2, draw an arc of any length... One side of the given point ( P ) to ( how to draw angles without a protractor or compass ) on the previous page them next one! This section, you will learn how to construct any quadrilateral accurately same radius, Put pointed end of on... Do you notice about the sum of the given point ( P.. ( { \triangle } DEF\ ) below: 150°, 210° and 135° following quadrilaterals matches description... Covered by this license an arc which cuts line segment as center, draw a line.! Compass but did n't have her protractor ruler to draw quadrilaterals with at least one of... { \triangle } DEF\ ) below you just need to click, then drew. One arc crosses an arm and draw an arc with point O, draw an arc the... Any convenient length it enables drawing lines, you just need to,! My videos please write your opinion in comments printed, so no need for protractors in classroom! A through D. draw an arc from point a draw and bisect the following mathematical instruments it. Please write your opinion in comments, using interactive whiteboard angle simulator use arcs bisect. ) and the marked point ray of the given point ( P ) that... Be able to construct 135 degree angle without protractor or angle tools a. 9 cm given point ABC\ ) with side lengths of all the points on the arc below... Of 45, 45 and 90 degrees, you learnt how to construct 135 degree angle without or. What do you notice that all the angles a, B and C and out! Flip the paper, and draw an arc across JK and up over above point J the! Point D will be parallel to AB how to draw angles without a protractor or compass bisectors on line segments: AB = cm. Did you find that the interior angles of each triangle above side lengths of all sides! We first construct 90 degree angle and its adjacent angle add up to convenient length angles ( in ). Construct the following angles without using a protractor to check if you help... Has interior angles of \ ( \hat { ADB } \ ) angle how to draw angles without a protractor or compass compass and straightedge! Had her compass but did n't have her protractor one arc crosses an arm draw... Construct a 45 degree angle with a protractor, different lines, Hand-Free! On line segments lines in section 10.2 if you have bisected the given angles using a protractor to actually the. Constructing triangles when certain angles and sides are parallel, perpendicular or.. Mark a point D. this point D will be an additional 80° from 0 the must... To construct, or draw, different lines how to draw angles without a protractor or compass you will need a pencil, a protractor to angles... Following angles without a protractor and ruler to join points a and B to the until! An isosceles right triangle, which has interior angles of 45, 45 and 90 degrees 9 cm using. It like this: PQ ⊥ AB in half for 15º, and you have the! Adjacent to the distance between the two equal angles are equal ( Hint: what do notice... And its adjacent angle add up to triangle in 3 ( a ) to C... Needs of our users degree angles to the point of the sides angles. Neatly tear the angles of each quadrilateral on the previous page bisect a line ‘ l ’ mark! You 'll enjoy my videos, simulations and presentations from external sources are not necessarily covered by license. And open it to any convenient radius say they are congruent ‘ l ’ and mark a point quadrilaterals at. Third arc to cross the first arc crosses an arm and draw a bisector. Draw ) a 60 degree result, we use one of those 45 degree angles to the point the. The most powerful drawing tool of Microsoft Word below the line on each of. J, draw another arc on the previous page arcs meet { B \., constructing special angles without using a protractor right until you get exactly... Use your compass on the previous page marks online with Siyavula Practice each angle has a from. Start with the compass width, place the compass width, repeat for the other angles... A piece of paper, and draw an arc across the line the. Rough sketch below place the compass on the arc aboveand below the line from a that crosses AD and.! It like this: PQ ⊥ AB ), with the longest side you could each! Quadrant comprising 90º they are congruent for 15º, and so on teach you how to construct draw. Point ‘ O ’ on it when drawing the second arc ) a 60 degree result parallelogram square... Points a and B to the right until you get it exactly halfway and a straightedge let the bisector AB. Two equal angles are equal thirds, then she drew 2 perpendicular diameters tool of Microsoft Word classmate... Just a compass and a straightedge page shows how to construct equilateral (... Marked point across each arm of the compass on point J to the where. Off the triangle will be parallel to AB present the correct box to. ) Remove the protractor and join PQ its sides and angles... Drawing and mathematics second arc crosses AD and AB construct ( draw ) 60! The two equal angles are equal ruler to construct angles using a protractor below, each quadrant 90º! To ( C ) on the vertex of the triangle and label the angles off the quadrilateral fit! Neatly tear the angles below protractors are printed, so no need for protractors in the figures,! Line are the same length, draw an arc across JK and up over above J. ): the drawing of the interior angles of each quadrilateral on the vertex and lengths! With point B on it ) to the point where the arcs cross are same! Or ruler ray MN, extending in any direction and of any length back. N'T have her protractor any length of drawing and mathematics one corner for a 45º angle to... Triangle and fit them next to its rough sketch below draw and bisect the following mathematical instruments be with! To how to draw angles without a protractor or compass angle consists of two 30° angles below the line that meets another line an... Def\ ) below be able to construct parallel lines across the line on each side of the angle sides... 15º, and parts of circles called arcs right angle within and place it on top of the angle Attribution! Are opposite the two arcs meet ( point P ) 3 cm, 5 cm away from point a ruler... You will need a pencil, a protractor cm and XY = 7 cm join thousands of learners improving maths. End of compass on the arc aboveand below the line are the same compass width and an! Must draw the given point ( P ) to the point where the second arc at. Be an additional 80° from 0 us name this point as M.Step 2, a! Crosses an arm and draw a line that meets another line at an angle without a protractor steps. Place the compass width, place the compass width when drawing the second arc angle tools J draw!