Geometry

Question Analysis

This question focuses on applying the Outside Angle Theorem. We are given the measure of the major arc intercepted by two tangents and from an external point to the circle. The goal is to find the measure of by using the relationship between the angle and the intercepted arcs.

 

Step - by - Step Solution

1. Find the measure of the minor arc:

The measure of the major arc . Since the sum of the major and minor arcs is , the measure of the minor arc .

2. Apply the Outside Angle Theorem:

Substitute

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