Geometry

Question Analysis

The main focus is applying the Tangent - chord theorem. We need to use the given arc measure to find the measure of  formed by the tangent  and the chord .

 

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. According to the Tangent - chord theorem, the measure of  is half of the measure of the intercepted arc.

2. The measure of the intercepted arc is