Geometry

Question Analysis

The main focus is correctly applying the Tangent - chord theorem.

 

Key Concept Explanation

Tangent - chord Theorem: The measure of the angle formed by a tangent and a chord is equal to half the measure of the intercepted arc.

 

Step - by - Step Solution

1. The given  angle is not directly the arc measure for the calculation of . The intercepted arc relevant for  is the major arc. The measure of the major arc is .

2. According to the Tangent - chord theorem, to find , we take half of the measure of the intercepted major arc. So,

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