Use the two-reflections theorem

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Given a triangle ABC, let m and n be the perpendicular bisectors of sides AB and BC, respectively. Let O be the intersection of m and n. Recall that in Theorem 1.1.3 we proved that O is the center of the circumscribed circle, that is, a circle containing the vertices A, B, and C of the triangle. Use the Two-Reflections Theorem to prove that the inscribed angle ABC is measured by half the intercepted arc.

Reference no: EM13179231

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