If a line or line segment divides an angle into two equal angles, then the line or line segment is called angle bisector of the given angle.

**Construction
of angle bisector of an angle.**

If a line or line segment divides an angle into
two equal angles, then the line or line segment is called angle bisector of the
given angle.

In the following figures we can observe some angle
bisectors.

** **

__Example 5.12__

Construct bisector of the** **∠*ABC*** **with the measure 80°.

**Step 1: **Draw the given angle** **∠*ABC*** **with the measure 80° using protractor.

**Step 2: **With** ***B*** **as center and convenient radius, draw an arc to cut *BA* and *BC.*

Mark the points of intersection as *E* on *BA *and F on*
BC.*_{}

**Step 3: **With the same radius and** ***E*** **as center, draw an arc in the interior of ∠*ABC* and another arc of same measure with center
at *F* to cut the previous arc.

**Step 4: **Mark the point of intersection as** ***G.*

Draw a ray *BX* through *G*.

*BG *is the required bisector of the given angle* *∠*ABC*

Tags : Geometry | Term 1 Chapter 5 | 7th Maths , 7th Maths : Term 1 Unit 5 : Geometry

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7th Maths : Term 1 Unit 5 : Geometry : Construction of angle bisector of an angle | Geometry | Term 1 Chapter 5 | 7th Maths

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