# Point O is the center of the circle on which points A, B and C lie. It is known that ∠ABC = 15 °

June 29, 2021 | education

| **Point O is the center of the circle on which points A, B and C lie. It is known that ∠ABC = 15 ° and ∠OAB = 8 °. Find the BCO angle.**

Solution to the above problem:

First, draw the radius OB and consider the triangle AOB:

AO = OB (since these are the radii of the circle), which means the angle OAB = angle ABO = 8 degrees.

Consider a triangle BOC:

BO = OC (since these are the radii of the circle), therefore angle BCO = angle OBC = angle ABC – angle ABO.

Let’s substitute the values we know. The following expression will turn out:

15 degrees – 8 degrees = 7 degrees.

The correct answer to the problem: the BCO angle is seven degrees.

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