Geometry

Question Analysis

This question focuses on using the property of the incenter of a triangle to find the measure of . Given that  is the incenter and  is an angle bisector, we can use the angle - bisector property to solve for the angle.

 

Key Concept Explanation

The incenter of a triangle is the intersection point of the angle bisectors. An angle bisector divides an angle into two equal - measure angles. In this case, since  is the incenter and  is an angle bisector, .

 

Step - by - Step Solution

1. We know that .

2. Because , then  as well.

3. Since , we substitute the values: .

 

Option Analysis

A.: Incorrect. This is only the measure of  or

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