**Definition of Angle Bisector**

- Angle Bisector is a ray that divides an angle into two equal parts.

**More about Angle Bisector**

- Angle bisector is also called the internal angle bisector.
- Angle bisectors of a triangle intersect at a point called incenter of the triangle.
- A line or a line segment can also be an angle bisector at times. For example, the angle bisectors of polygons are line segments.

**Examples of Angle Bisector**

- In the example shown,
**OA**is the angle bisector. It divides 60° into two equal parts (i.e. two 30°'s).

In the given figure, is the angle bisector of ∠AOB and is the angle bisector of ∠COB. If

m∠AOC = 3y- 4 andm∠COD = 28, then find the value ofy.

Choices:

A. 56°

B. 28°

C. 20°

D. 112°

Correct Answer: C

Solution:

Step 1:m∠COD = 28, som∠BOC = 56, because is an angle bisector of ∠COB.

Step 2:m∠BOC = 56 implies thatm∠AOC = 56, because bisects ∠AOB.

Step 3:So, 3y- 4 = 56 givesy= 20°.

**Related Terms for Angle Bisector **

- Angle
- Bisector
- Ray