Geometry

Question Analysis

This question focuses on the relationship between the measure of a major arc and the central angle subtended by the corresponding minor arc in a circle.

 

Key Concept Explanation

Central Angle - Arc Relationship: The measure of a central angle is equal to the measure of the arc it subtends. For a major arc, the measure of the central angle corresponding to the minor arc (the arc that is not the major arc) is found by subtracting the major arc's measure from .

 

Step - by - Step Solution

1. Given that arc  is a major arc with a measure of .

2. The central angle  subtends the minor arc .

3. Calculate the measure of the minor arc : . Since the measure of

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