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Equal Angles (Posted on 2005-12-14) Difficulty: 3 of 5
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.

See The Solution Submitted by Bractals    
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re: re is there an easier way | Comment 3 of 4 |

It doesn't really matter what the centre of the circle is called!!!

Yes, N is on the circumference, MN is a diameter and since M & P are also on the circumference we have the angle subtended by RN the same at each point.


  Posted by DrBob on 2005-12-15 10:42:25
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