Geometry

Question Analysis

This question involves the concept of an angle bisector and basic algebraic equation - solving.

 

Key Concept Explanation

An angle bisector is a ray that divides an angle into two equal - measure angles. So, if  bisects , then the measure of  is equal to the measure of .

 

Step - by - Step Solution

1. Since  bisects , we can set up the equation based on the equality of the two sub - angles:

Given that  and