Question

a triangle is inscribed inside a circle. one vertex of the triangle is at the center of the circle, and the other two vertices are on the circle. if the angle at the center of the circle measures 80 degrees, what is the measurement of one other angle?

Answer 1

• 50 degrees

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The two sides are of same length as radius, hence it is isosceles triangle.

Find the measure x of other two angles using the triangle sum theorem:

• 2x + 80 = 180
• 2x = 100
• x = 50