Two tangents from a point outside a circle

An example figure from the Circle Generator.

A circle with center O and a point P outside it; tangents from P touch the circle at A and B, each marked with a tick, radii OA and OB meet them at right angles, angle AOB is labeled 120° and angle APB is labeled x — A circle with its center O and a point P outside it, two radii away from O. Two tangents run from P to the circle, touching it at A and B, each marked with one tick to show they are equal. The radii OA and OB meet the tangents at right angles, marked with squares; the angle AOB is labeled 120° and the angle APB is labeled x.

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Answer key

x = 60°

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