Quadrilateral ABCD is inscribed in a circle. Diagonals AC and BD meet at point Q.Rays CB and DA meet at point P. If |CD| = |CP| = |DQ|, what is the measure of angle CAD?

2001 British Mathematical Olympiad, Round 1, Problem 2.

(In reply to Solution? Spoiler? by Steve Herman)

I think in step f you mean angle DQC rather than DCQ, but otherwise it looks great.

Posted by Charlie on 2005-12-17 19:05:33