# Point O is the center of the circle. It is known that the angle ABC = 71 degrees

September 27, 2021 | education

| **Point O is the center of the circle. It is known that the angle ABC = 71 degrees and the angle OAB = 39 degrees Find the angle BCO**

Consider a triangle OAB – isosceles (OA, OB – radii).

The angles at the base AB are equal, we get:

∠ ABO = ∠ OAB = 39 °.

We find the degree measure of the OBC angle:

∠ OBC = ∠ ABC – ∠ ABO = 71 ° – 39 ° = 32 °.

Consider an isosceles triangle ОВС (ОВ, OC – radii).

∠ ВСО = ∠ ОВС = 32 ° (angles at the base of an isosceles triangle).

Answer: the degree measure of the angle BCO is 32 °.

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