Geometry

Question Analysis

The main focus is applying the Angle Bisector Equidistant Theorem to determine the measure of ∠NMK using the given geometric information.

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 distances from point  to the sides of ∠NML are shown as equal.

Step - by - Step Solution

1. Observe that , and , .

By the converse of the Angle Bisector Equidistant Theorem,

Click "Show Answer" to reveal the answer and analysis