Geometry

Question Analysis

This question focuses on applying the Angle Bisector Equidistant Theorem. The main task is to use the congruence of the given angles to find the length of .

Key Concept Explanation

The Angle Bisector Equidistant Theorem states that if a point lies on the angle bisector of an angle, then it is equidistant from the two sides of the angle. Here, since , is the angle bisector of . Points on (such as ) have equal perpendicular distances to and .

Step - by - Step Solution

1. Given that , we know that is the angle bisector of

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