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

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Captionless Image
36
72
144
56

Answer 1

Since ∠R is an inscribed angle in circle O, its measure is half the measure of the central angle that intercepts the same arc. Therefore, the measure of angle O is twice the measure of angle R, which is 36 degrees.

So, angle O = 2 * 36 = 72 degrees.

The measure of angle O is 72 degrees.