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 is the measure of the major arc. The intercepted arc relevant for calculating is the minor arc. The measure of the minor arc is .

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