Geometry

Question Analysis

The main focus is applying the Tangent - chord theorem. We use the given measure of the intercepted arc to find the measure of the angle .

 

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. Given that the measure of the intercepted major arc is .

2. According to the Tangent - chord theorem, we calculate