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01-08-2018
Mathematics

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In circle F, the measures of angle ARE equals 120 and the measures of arc BD equals 50. What is the measure of angle C?

In circle F the measures of angle ARE equals 120 and the measures of arc BD equals 50 What is the measure of angle C class=

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akposevictor akposevictor

01-02-2022

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°

Learn more about central angles and intercepted arcs on:

https://brainly.com/question/2278895

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