The ABC triangle is inscribed in a circle with the center O. Find the BOC angle if the BAC angle is 32 degrees.
| May 28, 2021 | education
The BAC angle inscribed in the circle rests on the BC arc, then the degree measure of the BC arc is twice the degree measure of the BAC angle.
Arc BD = 2 * 32 = 64.
The central angle BОС rests on the arc BC, then the degree measure of the central angle is equal to the degree measure of the arc on which the central angle rests.
BOC angle = 64.
Answer: The BOC angle is 64.
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