Geometry

Question Analysis

The main focus is applying the Intersecting Chords Angle Theorem. We need to use the measures of the arcs intercepted by the angles formed by the intersecting chords  and  to find the measure of .

 

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. The arcs intercepted by  are  and .

2. According to the Intersecting Chords Angle Theorem, we find the measure of  using the formula

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