Based on the angle-arc relationship, the measure of angle COA is: C. 160°.
What is the Angle-Arc Relationship?
The angle-arc relationship relates the measure of an inscribed angle to its central angle, such that the central angle is twice the measure of the intercepted arc.
Given:
- m∠CBA = 80° (intercepted arc)
- m∠COA = ?° (central angle)
Therefore:
m∠COA = 2(m∠CBA)
Substitute
m∠COA = 2(80°)
m∠COA = 160°
Therefore, based on the angle-arc relationship, the measure of angle COA is: C. 160°.
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