Triangle ABC is inscribed in a circle centered at point O. Find the degree measure of angle C of triangle ABC if angle AOB is 27 °

∠AOB is central, therefore, the degree measure of the arc on which it relies is equal to this angle.
∠C is inscribed, therefore, its degree measure is half as much as the degree measure of the arc on which it relies (by the inscribed angle theorem).
∠C = 27 ° / 2 = 13.5 °
Answer: ∠C = 13.5 °

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