Geometry

Question Analysis

This question focuses on using the property of the incenter of a triangle. Since  is the incenter, the lines from  to the sides of the triangle are angle bisectors. We can use the equality of angles formed by these bisectors to find the measure of .

 

Key Concept Explanation

The incenter of a triangle is the point where the angle bisectors of the triangle intersect. In this case,  being the incenter means that  bisects , so .

 

Step - by - Step Solution

1. We are given that , and since , then .

2. We know that .

3. Substitute the values of  and  into the equation: .

 

Option Analysis

A.: Incorrect. This is the measure of

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