In the diagram above, O is the center of the circle, BOC is a diameter and angle ADC is 37o What is ACB?

In the diagram above, O is the center of the circle, BOC is a diameter and angle ADC is 37o
What is ACB?

Answer Details

Since BOC is a diameter, then angle BAC is 90 degrees (as it is an inscribed angle that subtends a diameter). Also, angle ADC is 37 degrees (given). Therefore, angle ACB can be found using the fact that the angles in a triangle sum to 180 degrees. Thus: angle ACB = 180 - angle BAC - angle ADC = 180 - 90 - 37 = 53 degrees Therefore, the answer is 53 degrees.