By using a theorem related to angle subtended by an arc of a circle, he measure of angle C = 38°.
What is angle subtended by an arc of a circle?
The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference.
This implies,
∠ADB = 2∠ACB
76° = 2∠ACB
∠ACB = 38°
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