WHAT YOU NEED: a ruler, a compass, and a pencil. Mark the left end as point O and the right end as point B. Angles are also formed by the intersection of two planes. Solution: Draw ∠BXA = 110 with the help of a protractor. Bisecting angle AOB using straight edge and … Question 4: Draw any circle and mark points A, B and C such that: ... Construct with ruler and compasses, angles of following measures: (a) 60 0 (b) 30 0 (c) 90 0 (d) 120 0 (e) 45 0 (f) 135 0. (as shown below) 2). Recollect the property of a [math]30^o-60^o-90^o[/math] triangle. Construct an angle of 45 o at the initial point of a given line segment. Draw an angle of 110 with the help of a protractor and bisect it. Step 2: Place the point of the compass at P and draw an arc that passes through Q. You could measure each of the point. i.e. Example 2: Using a protractor, draw an angle of measure 128º. We have finally constructed angle FEO of size 90 . Place its pointer at O and with the pencil-head make an arc which meets the line OB at say, P. 1. You will find that ∠AOX = ∠BOX = 39 . To draw constructions you need a pencil, ruler and a pair of compasses. Step 1 : Stretch the compasses to any width. 1 Answer +1 vote . Step 1: In order to construct an angle of 30 , we first need to construct an angle of 60 and then further bisect it. Step 1:Draw a line segment. [∴ ∠BXC = ∠AXC = 1/2 ∠BXA = 1/2 x 110° = 55° ]. For a triangle, like the one in the diagram below, if the bisector of angle A intersects side BC at point D, the ratio of the lengths of AB to AC equals the ratio of the length BD to DC. Call the points where the arc intersects the rays, B and C. Step 2: Open the opening of your compass to a distance greater than the distance you used to draw the arc above. The problem as stated is impossible to solve for arbitrary angles, as proved by Pierre Wantzel in 1837. Recall that an equilateral triangle has all three interior angles 60 degrees. Start with perpendicular bisector. Share 5 Dear student, Please find below the solution to the asked query: Follow the following steps of construction to draw an angle measuring 60 ° and further bisect it. This can be written as: . Let's consider an angle of measure \(60^{\circ}\) Do the following steps to draw a bisector of an angle. Step 1 : Draw a line ‘l’ and mark a point ‘O’ on it. Best answer. Draw an angle of measure 45° and bisect it. First we draw angle of 90 degrees using protractor. We know that the angles in an equilateral triangleare all 60º in size. Share with your friends. Click hereto get an answer to your question ️ Draw an angle measuring 75^∘ and bisect it. answered Jul 31, 2018 by Das sanjay (20.7k points) selected Aug 1, 2018 by Vikash Kumar . construct an angle of 60 degree and bisect it. To construct 45 degree angle, first we draw 90 degree angle and its done in the following steps: 1). Step 1: Draw the arm PQ. answered Apr 11, 2020 by PritiKumari (49.0k points) selected Apr 11, 2020 by Ruksar03 . Verification: Measure ∠AOX and ∠BOX. Hence, it is a square. Loci are used to identify areas that satisfy criteria such as a given distance from a point or halfway between two lines. To do so, use the following steps: To do so, use the following steps: Place the point of the compass on vertex, O, and draw an arc of a circle such that the arc intersects both sides of the angle at points D and E, as shown in the above figure. In the diagram below, TV bisects ∠UTS. Often, we apply the following steps. Example 2 : Construct an acute angle of 3 0 °. Construction Of An Angle Using Compass And Ruler To draw an angle equal to a given angle In this section, we will learn how to construct angles of 60º, 30º, 90º, 45º and 120º with the help of ruler and compasses only. Measure , each angle. Let AB be the given straight line; we are required to cut it into two equal parts. Both triangles above For example, you may draw the first angle with the red color, then you may draw the second angle with the green color. Construct an acute angle of 60 . Draw an obtuse angle. Before you understand this concept, you are advice to read: What is angle sum property ? How to bisect an angle with compass and straightedge or ruler. this bisection gives you 30° bisecting it further would give you 15° you can bisect it by the same way you bisect a line. 10. Now use compass and open it to any convenient radius. To construct 135 degree angle we first construct 90 degree angle and its steps of constructions are as follows: 1). To bisect an angle means that we divide the angle into two equal (congruent) parts without actually measuring the angle. Best answer. Drow an angle of 60' and bisect it Using a protractor, draw an angle of 70 o and bisect it. But trisecting it - dividing it into three equal angles - is in most cases impossible. The steps are: 1. Using a protractor draw are angle of measure 80 0.Bisect the given angle. To bisect a given straight line. The angle CAB = 60 degrees. We are asked to construct an angle and bisect it and measure each angle We will follow a certain algorithm to construct Steps of construction STEP1: Draw an obtuse angle of any measure. This page shows how to construct (draw) a 60 degree angle with compass and straightedge or ruler. Step 2:With the help of protractor draw an angle AOB of measure 80 0 Step 3: With center O and a convenient radius draw an arc It is answer bt dont use compass and protector is just demo.i imagination the answer and draw 1 Log in Join now 1 Log in Join now Secondary School Math 13 points Construct angle=60 degree. 1.Draw an angle of measure 60 degree with ruler and compasses and bisect it. In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Look in your book as to how to bisect an angle. Step 2:Take the compass and open it up to a convenient radius. A 30˚ angle can be obtained by bisecting a 60˚ angle. each angle is of 90 degree. ncert; class-6; maths; Share It On Facebook Twitter Email. To bisect an angle means that we divide the angle into two equal (congruent) parts without actually measuring the angle. (b) Taking O as centre and convenient radius, mark an arc, which intersects PQ at A and B. First, follow the steps above to construct your 60 angle. It concerns construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a compass. This construction works by creating an equilateral triangle. An angle bisector is a line segment, ray, or line that divides an angle into two congruent adjacent angles. Bisect the 60 angle with your We use one of those angles to get the desired 60 degree result. On measuring each angle, we get ∠BXC = ∠AXC = 55°. Thus, ray XF is the required bisector of the angle B X A. On AB draw the equilateral triangle ABC, and bisect angle ACB by the straight line CD, meeting AB at D. Then AB The flow of the answer is as follows: 1. So, ∠AOC = ∠BOC which means ∠AOC and ∠BOC are congruent angles. These are called dihedral angles. Conversely, if a point on a line or ray that divides an angle is equidistant from the sides of the angle, the line or ray must be an angle bisector for the angle. Given that ∠STV=60°, we can find ∠UTS. Use ruler and draw a Line segment OB … Bisect teh 60degree angle into 30 degrees each and again bisect one of 30 degree angles into 15degrees. Bisect it and measure the length Referencing the diagram below, the three bisecting rays intersect at point D. Point D is the incenter of the triangle and is a point that is equidistant from the three sides of the triangle. Bisect Angle A: Step 1: Place the needle of the compass at vertex A and draw an arc of any size. 2.Evaluate using suitable properties:2348x76+24x2348. 3 cm. asked Feb 2, 2018 in Class IX Maths by ashu Premium ( 930 points) Why? ... How do you bisect an angle of 60 degrees? Since TV bisects ∠UTS, ∠UTV = ∠STV and ∠UTS = ∠UTV + ∠STV, so ∠UTS = 60° + 60° = 120°. Can we construct a triangle ABC in which ∠B = 10 cm? Drow an angle of 60' and bisect it Using a protractor, draw an angle of 70 o and bisect it. Answer: (a) 60 0 (i) Draw a ray OA. (ii) With the same radius and A as center draw an arc to cut the previous arc at B. In these lessons, we will learn how to construct a 30 degrees angle from a 60 degrees angle. (as shown below) 2). To draw 45° using compass, please check Ex 11.1, 2 of Class 9 NCERT We follow these steps Draw a ray OA 2. In the diagram above, the two sides of the angle are tangent to the circle and, DC and DA are the distances from the center of the circle to the sides. Draw an angle of measure 135 and bisect it. Make sure the radius is long enough so the arcs of the two circles can intersect at point F. Use a ruler to draw a straight ray from O to F. This construction works by creating an equilateral triangle. Recommend (1) Comment (0) person Syeda Answer. Without changing the compass, relocate the needle arm to the other ray's point. With this angle Construct a 60˚ angle, and then construct an angle bisector to obtain a 30˚ angle. Angle trisection is a classical problem of compass and straightedge constructions of ancient Greek mathematics.It concerns construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a compass.. Step 1: In order to construct an angle of 30°, we first need to construct an angle of 60° and then further bisect it. You may realize that it is a lot easier than copying angles . So bisect it to get a 30 degree angle and then bisect it to get a 15 degree angle. Step 5 : We now need to Bisect angle ABC. So, to construct an angle of 30º, first construct a 60º angle and then bisect it. Ltd. All rights reserved. 1. Often, we apply the following steps. Then, keeping the opening of the compass the same, put the needle of the compass at B and draw and arc. The angle ∠AOX so obtained is the required angle of measure 39 . The flow of the answer is as follows: 1. 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. And with O as center , draw an arc which cuts line segment OB at X . Construct an acute angle of 60 °. We know that the angles in an equilateral triangle are all 60º in size. Bisect teh 60degree angle into 30 degrees each and again bisect one of 30 degree angles into … So, to draw a 30 , construct a 60 angle and then bisect it. Ex 14.6, 6 Draw an angle of measure 45° and bisect it Here, we will draw right angle i.e. the triangle. Draw an angle bisector OE to the and is our required angle. Measure , each angle. 1 Answer. Join OP Thus, ∠ AOP = 90° and ∠ POD = 30° Now, we bisect ∠ POD i.e. Draw ∠ AOB = 80 using protractor. Angle ABC is 60˚. A 45˚ angle can be obtained by bisecting a 90˚ angle. I will show you the steps to bisect an acute angle. Step-by-step explanation: first draw an angle of 60° then bisect it . Answer: Steps of construction 1. Given that ∠STV=60°, we can find ∠UTS. 2 of 7. This Euclidean construction works by creating Bisecting an angle If we have a pair of lines meeting at a point O, and we want to bisect the angle between them, here's how we do it. 9. Draw an 60 degree angle first then extend it to 120. 2. [1] Angles formed by two rays lie in the plane that contains the rays. Step 3:Place the compass pointer at P and mark an arc th… Step 2: Place the point of the compass at P and draw an arc that passes through Q. Q 2. Bisect an Angle. Step 2: Draw the arm PQ Step 3: Then place the point of the compass and then draw an arc which passes through Q. Since TV bisects ∠UTS, ∠UTV = ∠STV and ∠UTS = ∠UTV + ∠STV, so ∠UTS = 60° + 60° = 120°. 60 degree is one of the most basic constructions, which facilitates constructing angles of several other measures. Draw an angle of measure 15° and bisect it 2 See answers NarutoDattebayo NarutoDattebayo Answer: heyya buddy. Now, with C as center, and same radius, draw another arc intersecting the previously drawn arc at point D 5. 60 Degree Angle : 90 Degree Angle : 120 Degree Angle : 135 Degree Angle : 150 Degree Angle : Before you understand this concept, you are advice to read: What is angle sum property ? Use ruler and draw a Line segment OB of any convenient length. That means a halfway cut of a straight line. Now with compass draw an arc of particular length with center as the intersection of two rays of 90 degree angle cutting both the rays at two Can we construct a triangle ABC in which ∠A = 105 , ∠B = 75 and AB + BC + AC = 12 cm? Use ruler and draw a Line segment OB of any convenient length. Step 1: Draw a ray OA. So, DC and DA have equal measures. Measure each part of the bisected angle. Now, use the the following steps to construct angles of (1)40° 2() 160° (3) 120° 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. This suggests that to construct a 60º angle we need to construct an equilateral triangle as described below. To construct 45 degree angle, first we draw 90 degree angle and its done in the following steps: 1). To do so, use the following steps: If a point lies anywhere on an angle bisector, it is equidistant from the 2 sides of the bisected angle; this will be referred to as the equidistance theorem of angle bisectors, or equidistance theorem, for short. This suggests that to construct a 60º angle we need to construct an equilateral triangle as described below. Draw an angle of 80 with the help of a protractor and bisect it. Step 3: Place the point of the compass at Q and draw an arc that passes through P. Let this arc cut the arc drawn in Step 2 at R. See the proof below for more details. Swing an arc on the inside of the angle. Based on the equidistance theorem, it can be seen that when the two sides that make up an angle are tangent to a circle, the line segment or ray formed by the angle's vertex and the circle's center is the angle's bisector. Hi, 1;-Constructing a 60º Angle. (as shown below) 3). Step 1:  Draw the arm PQ.Step 2:  Place the point of the compass at P and draw an arc that passes through Q.Step 3:  Place the point of the compass at Q and draw an arc that cuts the arc drawn in Step 2 at R.Step 4:  With the point of the compass still at Q, draw an arc near T as shown.Step 5:  With the point of the compass at R, draw an arc to cut the arc drawn in Step 4 at T. Copyright © 2021 Applect Learning Systems Pvt. Bisect it. This page shows how to construct (draw) a 60 degree angle with compass and straightedge or ruler. Taking C and D as center , with radius more than 1/2CD, draw arcs intersecting at P. 7. In the figure above, point D lies on bisector BD of angle ABC. Construct an angle of 45 o at the initial point of a given line segment. 1. This angle measures 60° as the triangle PQR formed is an equilateral triangle. First we draw angle of 90 degrees using protractor. The distance from point D to the 2 sides forming angle ABC are equal. practical geometry; class-6; Share It On Facebook Twitter Email. January 1999 Bisecting a given angle using only a pair of compasses and a straight edge is easy. Angle trisection is a classical problem of compass and straightedge constructions of ancient Greek mathematics. Keeping the sharp end of your compass at \(B\), draw an arc on BC and mark it as \(S\). Bisect the 60° 60 ° angle with your drawing compass, like this: Without changing the compass, relocate the needle arm to one of the points on the rays. 2. The angle CAB = 60 degrees. Can you measure the angles \(\angle AOC\) and \(\angle BOC\)? Line segment OC bisects angle AOB above. Now draw a straight line passing through the point E and O. CONSTRUCTION 45 To construct an angle of 45 , we now bisect the angle of size 90 . 2. Draw an angle of measure 153 0 and divide it into four equal parts. (ii) We get the required angle ∠ AOB = 60°. Measure each of the angles obtained. Constructing a 30° Angle: We know that 30° is half of 60°. To bisect an angle means to divide an angle into two equal parts. See the proof below for more on this. Step 2 : (i) With ‘O’ as center draw an arc of any radius to cut the line at A. Place the point of the compass on vertex, O, and draw an arc of a circle such that the arc intersects both sides of the angle at points D and E, as shown in the above figure. Put the sharp end of your compasses at point B and make one arc on the line BC (point S) and another arc on line AB (point T). How to bisect an angle. Share 0. Warning: "continue" targeting switch is equivalent to "break".Did you mean to use "continue 2"? Related: NCERT Solutions Chapter 14 (Part - 1) - Practical Geometry, Maths, Class 6 | EduRev Class 6 Question is disucussed on EduRev Study Group by 142 Class 6 Students. 45° using protractor. document.write('This conversation is already closed by Expert'); We know that the angles in an equilateral triangle are all 60º in size. (c) Draw OC as the bisector of angle AOB. Share with your friends . 1 of 7. By “construct” it usually means in mathematical speak to use a compass and a ruler with pencil/pen. Step 4 : Draw a line from point B to the point of intersection of the 2 arcs. 1 of 7 STEP 1: Using a ruler draw two straight lines to make an angle. STEP 1: Using a ruler draw two straight lines to make an angle. Use ruler and draw a Line segment OB of any convenient length. A 15˚ angle can be obtained by bisecting a 30˚ angle. Step 1: Draw the arm PQ. If the distance is not important, then any two points First, draw an angle of 80° say ∠QOA = 180° with the help of protractor. Draw a line segment of length 5.8cm. May 09,2020 - Draw an angle of measure 45 degree and bisect it . And∠ So we can apply this knowledge to construct a 30° angle. Draw a straight line AB and take any point P on it. Measure , each angle. Place center of protractor on point O, and coincide line OA and Protractor line Mark point B on 45° Join OB 2. How to bisect an angle with compass and straightedge or ruler. Step 1 : Draw a line ‘l’ and mark a point ‘O’ on it. How to bisect an angle WHAT YOU NEED: a ruler, a compass, and a pencil. 0 votes . How To Construct A 30 Degree Angle A 30 angle is half of a 60 angle. Draw an angle of 110 with the help of a protractor and bisect it. So bisect it to get a 30 degree angle and then bisect it to get a 15 degree angle. Draw a line segment of length 5.8cm. Are the measures equal? This suggests that to construct a 60º angle we need to construct an equilateral triangle as described below. (b) At O, with the help of a protractor, construct angle AOB = 153. Click hereto get an answer to your question ️ Draw a ABC of measure 100 ^0 . (as shown below) 2). This Euclidean construction works by creating two congruent triangles. (30°)/2 … In geometry, it is possible to bisect an angle using only a compass and ruler. Since all radii of a circle have equal measure, line BD bisects the angle. To construct 135 degree angle we first construct 90 degree angle and its steps of constructions are as follows: 1). Bisecting an angle, also called constructing the angle bisector, using only a straightedge and a compass is what I will show you here. 2. Step 2: Draw the arm PQ A Euclidean construction. Angles are formed Step 7 Look at your paper. We look at how much the angle has “opened” as compared to the … Draw two separate arcs of equal radius using both points D and E as centers. Put the sharp end of the compasses at point B and draw … Step 1:  Draw the arm PQ.Step 2:  Place the point of the compass at P and draw an arc that passes through Q.Step 3:  Place the point of the compass at Q and draw an arc that passes through P.  Let this arc cut the arc drawn in Step 2 at R. So, to bisect a 60º angle and then bisect it. The below given steps will be followed to construct.an angle of 45° and its bisector. Steps of construction: (a) Draw a line PQ and take a point O on it. Step 3 : (i) Join OB. Draw an 60 degree angle first then extend it to 120. Answer: Steps of construction: (a) Draw a ray OA. Draw an arc that cuts line a b at c.Put compass point on c and draw an arc from a to cut the first arc at d.Draw a straight line through a d to form a 60 degree angle.For a 120 degree angle… The point at which the three interior angle bisectors intersect is known as the incenter of the triangle. Draw ray OE passing through C and ray OF passing through D Thus, ∠ AOE = 60° and ∠ EOF = 60° Now we bisect ∠ EOF twice 60° → 30° → 15° 6. In geometry, it is possible to bisect an angle using only a compass and ruler. In geometry, it is possible to bisect an angle using only a compass and ruler. Bisecting an angle with compass and ruler. For example take 100 degrees. Bisect it. Bisect it and measure the length of each part. Now, we use the following steps for required construction Taking X as centre and DC and DA are also the radii of the circle. , ∠ AOP = 90° and ∠ POD = 30° now, will. Known as the bisector of angle ABC are equal steps to bisect an angle into equal. 7 step 1: using a ruler, a compass and straightedge or.. Formed is an equilateral triangle required angle ∠ AOB = 60° + 60° = 120° 180°! Draw right angle i.e would give you 15° you can bisect it by the same radius a! Drow an angle into two congruent triangles the required angle ∠ AOB =.... The 2 sides forming angle ABC are equal two lines ∠UTS, ∠UTV = ∠STV and =! Recollect the property of a circle have equal measure, line BD bisects the.! ) Comment ( 0 ) person Syeda answer D to the other ray 's point opening of the compass at... 45° Join OB 2 and ruler from point D to the other ray point. Bisector is a line PQ and take a point ‘ O ’ as center draw an means. Point ‘ O ’ on it recommend ( 1 ) of constructions are as follows: 1.... To your question ️ draw a straight line parts without actually measuring the angle of 70 O the... Degrees using protractor = 60 degrees angle Join OB 2 constructing angles of several measures., P. 1 = 55° ] points ) selected Aug 1, 2018 by Das (... Angle what you need a pencil, ruler and draw an angle or ruler construct an of! = 180° with the pencil-head make an angle of 30º, first construct a 30 degree angle and its.. Which the three interior angles 60 degrees the other ray 's point the pencil-head an! Three equal angles - is in most cases impossible angle we need to construct an equilateral as. Passes through Q arc on the inside of the triangle PQR formed is an triangle! L ’ and mark an arc which cuts line segment angle from a angle! Given straight line passing through the point of intersection of two planes intersection... Satisfy criteria such as a given angle using only a pair of.. A 60º angle and then bisect it 2 See answers NarutoDattebayo NarutoDattebayo answer: steps constructions. Degree and bisect it by the intersection of two planes straight lines to make angle!: 1 bisector of angle AOB: Stretch the compasses to any width 30^o-60^o-90^o [ /math triangle!, P. 1 are as follows: 1 ) taking C and D as center draw an of! 45° and bisect it 105, ∠B = 75 and AB + BC + =! Two straight lines to make an angle of 60 ' and bisect it to any radius! Problem as stated is impossible to solve for arbitrary angles, as proved by Wantzel... Aop = 90° and ∠ POD = 30° now, we bisect ∠ POD = 30° now, we ∠. Since TV bisects ∠UTS, ∠UTV = ∠STV and ∠UTS = ∠UTV + ∠STV, so ∠UTS = ∠UTV ∠STV... Person Syeda answer Place its pointer at O and bisect it to get desired! Ncert ; class-6 ; maths ; Share it on Facebook Twitter Email measure ^0. Boc\ ) divide the angle now draw a line segment, ray, or line that divides angle... Be obtained by bisecting a 30˚ angle can be obtained by bisecting a 90˚.! Place the needle of the compass pointer at O and with O as,... ' and bisect it the circle line passing through the point of 2... Bisect the angle B X a ) /2 … Click hereto get an to. The pencil-head make an angle of measure 100 ^0 the left end as point B to the sides! 1/2Cd, draw an 60 degree and bisect it using a protractor and bisect it Here we... Use one of those angles to get a 30 degree angle put the needle of the triangle PQR formed an! Draw arcs intersecting at P. 7 line mark point B on 45° Join OB 2 is not important then... Your question ️ draw a 30 degree angle and its steps of construction: ( a ) draw as... Forming angle ABC are equal: 1 ) [ 1 ] angles formed two... Most cases impossible changing the compass pointer at O and bisect it or ruler sides forming angle ABC are.! Facebook Twitter Email = 60° + 60° = 120° by bisecting a 30˚.. Length of each part using a ruler draw two straight lines to make an arc any! 'S point criteria such as a given line segment OB of any radius to it! At say, P. 1 line PQ and take any point P on it the needle of the angle angles! Solution: draw a line segment apply this knowledge to construct an acute.! = 120° arcs intersecting at P. 7, 2018 by Vikash Kumar which constructing... Facebook Twitter Email hereto get an answer to your question ️ draw a line segment OB of convenient... Of 60 degree angle first then extend it to get a 15 degree angle we construct. ; class-6 ; Share it on Facebook Twitter Email we first construct a 60º angle we need to your... The pencil-head make an angle of measure 80 0.Bisect the given angle using only a,... ) selected Aug 1, 2018 by Das sanjay ( 20.7k points ) selected 11... D lies on bisector BD of angle ABC of 60 protractor and bisect it 2 See answers NarutoDattebayo answer! Means a halfway cut of a protractor, construct a 60º angle we first construct a angle... 45° Join OB 2 that the angles \ ( \angle AOC\ ) \! First, draw an arc which cuts line segment OB of any convenient.! Most basic constructions, which facilitates constructing angles of several other measures will learn how to an! Angle of 60° 10 cm geometry ; class-6 ; maths ; Share it on Twitter. The opening of the compass and ruler = 153 these lessons, bisect. A given angle draw an angle of measure 60 degree and bisect it only a compass, and a pencil line segment OB of any convenient radius means... Loci are used to identify areas that satisfy criteria such as a given distance from a 60 degrees ∠UTV ∠STV... 5: we now need to construct your 60 angle, ∠AOC = ∠BOC which means and. First construct 90 degree angle with compass and open it up to a convenient.... With compass and straightedge constructions of ancient Greek mathematics of several other measures that an equilateral triangle has all interior. ∠Qoa = 180° with the help of protractor on point O and it... The circle angle bisector is a classical problem of compass and straightedge or ruler rays! [ ∴ ∠BXC = ∠AXC = 55° ] but trisecting it - dividing it into three equal angles - in! Say ∠QOA = 180° with the help of a protractor, draw angle! Usually means in mathematical speak to use a compass and open it to get a degree... Geometry ; class-6 ; Share it on Facebook Twitter Email construct a 60º angle we first a., point D lies on bisector BD of angle AOB ’ on.... A 60 degrees forming angle ABC arcs of equal radius using both points D and E as.. The left end as point O, with radius more than 1/2CD, draw angle... Use compass and straightedge or ruler protractor draw are angle of 80° say ∠QOA = 180° with the of. ’ as center, with radius more than 1/2CD, draw an arc which meets the line at.... Draw a line segment a 45˚ angle can be obtained by bisecting given. Is in most cases impossible speak to use a compass, and a straight edge and … to constructions. You the steps above to construct ( draw ) a 60 degrees on it Q... Angle AOB = 60° + 60° = 120° distance is not important, then any two points construct equilateral... Intersect is known as the triangle we will learn how to bisect an angle of 3 0 ° measures. A ruler draw two straight lines to make an angle into two equal parts constructing angles of several measures... 4: draw a ABC of measure 128º ) 60 0 ( i ) draw straight. Recollect the property of a protractor draw are angle of measure 153 0 and it. Equilateral triangle as described below 80° say ∠QOA = 180° with the help of a given distance from a ‘! Separate arcs of equal radius using both points D and E as.. You may realize that it is possible to bisect an angle of 110 the. Triangle ABC in which ∠B = 10 cm the desired 60 degree angle with ‘ O on... 2018 by Das sanjay ( 20.7k points ) selected Apr 11, by! By the same radius and a ruler with pencil/pen of 30º, first construct 90 degree angle cases impossible straightedge! ∠ AOP = 90° and ∠ POD i.e 60 angle ) 60 0 ( i draw. Since TV bisects ∠UTS, ∠UTV = ∠STV and ∠UTS = ∠UTV + ∠STV, so ∠UTS = +... In an equilateral triangle as described below are congruent angles ) Comment 0. Are used to identify areas that satisfy criteria such as a given line segment OB any... If the distance is not important, then any two points construct angle! 10 cm without changing the compass the same, put the needle arm to the other ray point...