In triangle ABC: angle B = 70 degrees, angle C = 60 degrees, point O is the center of the circumscribed

In triangle ABC: angle B = 70 degrees, angle C = 60 degrees, point O is the center of the circumscribed circle. Find the value of the angle BOC.

Determine the value of the angle BAC of the triangle ABC.

Angle BAC = (180 – ABC – ACB) = (180 – 70 – 60) = 50.

The angle BAC inscribed in the circle rests on the arc BC, the degree measure of which will be equal to two values of the inscribed angle BAC. Arc BC = 2 * 50 = 100.

The BOC angle is the central angle, which also rests on the AB arc, then the BOC angle is equal to the degree measure of the BC arc. BOC angle = 100.

Answer: The BOC angle is 100.