Geometry

Question Analysis

The main focus is using the equal - length markings and the given angle measure, along with the Angle Bisector Equidistant Theorem, to find the measure of ∠DCA.

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. Also, if a point is equidistant from the two sides of an angle, then it lies on the angle bisector. In this case, the equal lengths of  and  with  and  are relevant.

Step - by - Step Solution

1. Notice that , and

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