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 re: Solution? Spoiler? by Charlie)

Thanks, Charlie.  I've modified my solution to fix the typo you just pointed out.  And thanks, also, for the kind words.

Posted by Steve Herman on 2005-12-17 23:41:34