What is the measure of <C?

Answer:
m∠C = 38°
Step-by-step 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°.