Geometry

Question Analysis

The key is to apply the property of congruent chords in a circle. Since chords  and  are congruent (shown by the equal markings), we can find the measure of arc  based on the measure of arc .

 

Key Concept Explanation

In a circle, congruent chords subtend congruent arcs. That is, if two chords have the same length, the arcs they intercept have the same measure.

 

Step - by - Step Solution

1. Observe that chords  and  are marked as congruent.

2. Given that the measure of arc

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