Geometry

Question Analysis

The main focus is on the property that congruent arcs in a circle subtend congruent chords. We'll use the given measures of arc  and arc  to find the length of chord .

 

Key Concept Explanation

In a circle, if two arcs have equal measures, then the chords that subtend these arcs are congruent. This means the lengths of these chords are equal.

 

Step - by - Step Solution

1. Notice that the measure of arc  is  and the measure of arc  is also .

2. Since the arcs

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