The measure of angle ACB is 72 degrees
Circle theorem
First we need to determine the measure of <ADB
<ADB = 1/2arcAB
<ADB = 1/2(72)
<ADB = 36 degrees
Since angle at the centre is twice angle at the circumference, hence;
<ACB = 2<ADB
<ACB = 2(36)
<ACB = 72 degrees
Hence the measure of angle ACB is 72 degrees
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