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.
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