Triangle ABC is inscribed in a circle centered at point O. Find its thermometer, the measure of the angle C

Triangle ABC is inscribed in a circle centered at point O. Find its thermometer, the measure of the angle C of the triangle ABC, if the angle AOB is 115 °

draw a circle with center O and build a triangle ABC inside. It is known that the central angle AOB = 115 °. It rests on a small arc AB, => it is also equal to 115 °. We need to find the inscribed angle C, which also rests on the small arc AB. Let’s remember the rule: an inscribed angle resting on the same arc as the central one is equal to half of the central angle. => angle С = 115/2 = 57.5 °
Answer: 57.5