Given a circle with center O, PQ AND PR are two tangents from point P outside the circle. Prove that angle POQ = angle POR.

So the triangles share a common hypotenuse . We know the two radii are congruent: . Since (tangent lines to a circle form right angles with the radius), the two triangles are congruent by HL, and the two desired angles are congruent by CPCTC.

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Three people were asked whether it was better to have a wife or a mistress.

Doctor: "A wife, because studies have shown that wives have beneficial effects on your health."
Lawyer: "Definitely a mistress, because a wife will just take all your money in a divorce."
Mathematician: "Both. That way, your wife thinks you're with your mistress, your mistress thinks you're with your wife, and there's more time to do math."