Geometry

Question Analysis

This question combines the concept of an angle bisector in geometry with 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 half of the measure of , or .

 

Step - by - Step Solution

1. Set up the equation based on the angle - bisector property:

Given  and , we have the equation .

Expand the left - hand side using the distributive property: .

 

2. Solve the equation for :

Move the  terms to one side. Subtract  from both sides:

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