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 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

Click "Show Answer" to reveal the answer and analysis