what is angle bisector ???????? give example
Angle Bisector is a ray that divides an angle into two equal parts.
- 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).
Solved Example on Angle Bisector
In the given figure, is the angle bisector of ∠AOB and is the angle bisector of ∠COB. If m∠AOC = 3y - 4 and m∠COD = 28, then find the value of y.
Choices:
A. 56°
B. 28°
C. 20°
D. 112°
Correct Answer: C
Solution:
Step 1: m∠COD = 28, so m∠BOC = 56, because is an angle bisector of ∠COB.
Step 2: m∠BOC = 56 implies that m∠AOC = 56, because bisects ∠AOB.
Step 3: So, 3y - 4 = 56 gives y = 20°.