Circle O is shown below. The diagram is not drawn to scale. if the measure of <R = 36 degrees, what is the measure of <O?

Question

36
72
144
56

Answer 1

The measure of an inscribed angle is half the measure of the central angle that intersects the same points on the circle. Since angle R is 36 degrees, the central angle that intersects points R and O would be double that, which is 72 degrees. Therefore, the measure of angle O is 72 degrees.

So, the answer is 72 degrees.