The measure of angle C is: B. 35°.
Central Angles and Intercepted Arcs Relationship
- Central angle = measure of intercepted arc.
- Half the difference of the major and minor arc = external angle formed outside a circle.
Therefore:
angle AFE = arc AE = 120°
Thus:
m∠C = 1/2(120 - 50)
m∠C = 35°
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