Geometry

Question Analysis

The main focus is applying the Intersecting Chords Angle Theorem. We need to use the measures of the arcs intercepted by  to find its measure.

 

Key Concept Explanation

Intersecting Chords Angle Theorem: The measure of the angle formed by two intersecting chords in a circle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

 

Step - by - Step Solution

1. According to the Intersecting Chords Angle Theorem, for , the formula is , where the intercepted arcs are  and .

2. Substitute the arc measures into the formula:

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