# Point O is the center of the circle on which the points A B and C lie.

July 20, 2021 | education

| **Point O is the center of the circle on which the points A B and C lie. It is known that the angle A B C is 134 angle OA B is 75 Find the angle BCO.**

1. Angle ABC is inscribed in a circle, it rests on the arc AC.

Arc AC = 134 * 2 = 268 (°).

2. Angle AOC – central, it rests on the arc ABC.

Angle AOC = 360 – 268 = 92 (°).

3. The sum of the angles of the quadrilateral ABCO is 360 °.

Angle ABC = 134 °, angle OAB = 75 °, angle AOC = 92 °.

Let’s calculate the angle BCO.

Angle BCO = 360 ° – 134 ° – 75 ° – 92 ° = 59 °.

Answer: 59 °.

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