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Quad Angle (Posted on 2005-12-17) Difficulty: 2 of 5

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.

See The Solution Submitted by Bractals    
Rating: 3.0000 (1 votes)

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re: Solution? Spoiler? | Comment 2 of 3 |
(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

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