Side AC of triangle ABC passes through the center of the circumscribed circle. Find angle C if angle A = 53 °.

univerkov | August 15, 2021 | education

Let’s use the picture to solve the problem.

Consider a triangle ABC, in which the angle ABC is an inscribed angle based on the diameter of the AC. By the property of the inscribed angle based on the diameter, the angle ABC = 90.

Then the angle ACB = 180 – 90 – 53 = 37.

Answer: Angle C = 37.

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