Geometry

Question Analysis

This question focuses on the relationship between the measure of a major arc and the central angle in a circle. The key is to use the property that the measure of the central angle corresponding to the minor arc is related to the measure of the major arc.

 

Key Concept Explanation

Central Angle and 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 remaining part of the circle) can be found by subtracting the major arc's measure from .

 

Step - by - Step Solution

1. Given that the measure of arc  is , which is a major arc.

2. First, find the measure of the minor arc : .

3. Since  is the central angle that subtends the minor arc , the measure of

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