Question

What is the measure of <C?
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Answer 1

m∠C = 38°

Explanation:

By the inscribed angle theorem,

"Intercepted arc measures the double of the measure of the inscribed angle"

m(arc AB) = 2[m(∠ACB)]

76° = 2[m(∠ACB)]

m(∠ACB) = 38°

Therefore, measure of angle ACB = 38°.