Question

an equilateral triangle ABC is inscribed in a circle with centre o find measure of angle boc

Answer 1

Hope this will help you

Answer 2

The measure of angle BOC is 120 degrees.



Since the triangle ABC is equilateral and inscribed in a circle with center O, we know that O is the circumcenter of triangle ABC, which means that it is equidistant from all three vertices of the triangle.

Let R be the radius of the circle.

Then, the distance from O to each vertex of the equilateral triangle ABC is R.

Since triangle ABC is equilateral, each angle of the triangle measures 60 degrees. Therefore, angle AOC is 120 degrees, because it is formed by two radii of the circle and chord AC.

Similarly, angle BOC is 120 degrees, because it is formed by two radii of the circle and chord BC.

Therefore, the measure of angle BOC is 120 degrees.

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