Triangle ABC is inscribed in a circle with center O. Find the degree measure of angle C of triangle ABC if angle AOB is 63º.

Let’s draw a circle with the center O and build a triangle ABC inside. Angle AOB rests on a small arc AB. Angle C also rests on a small arc AB. Let’s remember the rule: the inscribed angle resting on the same arc as the central one is equal to half of the central angle. => angle C = 63/2 = 31.5 °
Answer: 31.5