Alternate segment theorem: tangent and chord

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A circle with a tangent at A and a triangle ABC inside it; the angle between the tangent and the chord AB is labeled 60° and the angle at C is labeled x — A circle with a tangent touching it at A, at the bottom, and a triangle ABC with all three corners on the circle. The angle between the tangent and the chord AB is marked and labeled 60°, and the angle at C, in the alternate segment, is marked and labeled x.

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Answer key

x = 60°

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