Let circle A be in the interior of circle B and tangent to it at point M. Let chord QR of circle B be tangent to circle A at point P. Prove that angles PMQ and PMR are equal.

1993 British Mathematical Olympiad,Round 1,Problem 4.

M is on the circumfere4nce of B, not A. This is also diameter since the tangent at M is also a tangent to B

Posted by DrBob on 2005-12-15 10:44:19