2 circles with center O are shown. The first circle has radii O A and O B to form angle A O B. Point C is on the opposite side. The second circle has points A, B, and C in the same position. Lines are

2 circles with center O are shown. The first circle has radii O A and O B to form angle A O B. Point C is on the opposite side. The second circle has points A, B, and C in the same position. Lines are drawn from point A to point C and from point B to point C to form angle A C B. Make a conjecture. Let points A and B stay in the same position. What would happen to the angle formed if the vertex of angle AOB was moved from the center to point C, which lies on the circle? The measure of angle ACB is the measure of angle AOB.

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2 circles with center O are shown. The first circle has radii O A and O B to form angle A O B. Point C is on the opposite side. The second circle has points A, B, and C in the s…

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