Geometry

Question Analysis

This question combines the geometric concept of an angle bisector 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 , and .

 

Step - by - Step Solution

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

Given  and , we can write the equation .

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

 

2. Solve the equation for :

Subtract  from both sides of the equation:

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