Geometry

Question Analysis

The main focus is applying the Angle Bisector Equidistant Theorem to find the measure of ∠POQ using the given equal - length markings and angle measure.

Key Concept Explanation

The Angle Bisector Equidistant Theorem states that if a point lies on the angle bisector of an angle, it is equidistant from the two sides of the angle. Conversely, if a point is equidistant from the two sides of an angle, then it lies on the angle bisector. Here, the equal lengths of  and  with  and  are key.

Step - by - Step Solution

1. Observe that , and

Click "Show Answer" to reveal the answer and analysis