# Point O is the center of the circle, ∠ACB = 25 °. Find the angle AOB

May 31, 2020 | Education

| By condition ∠ACB = 25 °, this angle is an inscribed angle and is equal to half of the arc on which it relies (by the inscribed angle theorem).

Therefore, the degree measure of the arc, in our task, is 25 ° * 2 = 50 °.

∠AOB is central and equal to the degree measure of the arc, on which, therefore, ∠AOB = 50 °.

Answer: ∠AOB = 50 °.

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