Two secants from a point outside a circle

An example figure from the Circle Generator.

A circle and a point P outside it; two secants from P cut the circle at A and B and at C and D, the near arc AC is labeled 60°, the far arc BD 180°, and the angle at P x — A circle and a point P outside it to the left. Two secants run from P through the circle, the upper one cutting it at A and then B, the lower one at C and then D. The near arc between A and C is labeled 60°, the far arc between B and D is labeled 180°, and the angle at P is marked and labeled x.

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Answer key

x = 60°

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