Draw an angle of 80° and construct an angle bisector to angle.
Answers
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Step-by-step explanation:
Step 1 :
Construct an angle of given measure at O using protractor.
Step 2 :
With ‘O’ as center draw an arc of any radius to cut the rays of the angle at A and B.
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CONSTRUCTION OF ANGLE BISECTOR
In this section, you will learn how to construct angle bisector.
To construct an angle bisector, you must need the following instruments.
1. Ruler
2. Compass
Steps to Construct Angle Bisector
Step 1 :
Construct an angle of given measure at O using protractor.
Step 2 :
With ‘O’ as center draw an arc of any radius to cut the rays of the angle at A and B.
Step 3 :
With ‘A’ as center draw an arc of radius more than half of AB, in the interior of the given angle
Step 4 :
With ‘B’ as center draw an arc of same radius to cut the previous arc at ‘C’.
Step 5 :
Join OC.
OC is the angle bisector of the given angle.
This construction clearly shows how to draw the angle bisector of a given angle with compass and straightedge or ruler. The angle bisector divides the given angle into two equal parts.
For example, if we draw angle bisector for the angle 60°, the angle bisector will divide 60° in to two equal parts and each part will measure 30°.