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Intersecting Circles and a Right Angle

Let A, B, C, and D be points on a circle with center O. Let the lines AB and CD meet at M. Let the circumcircles of AOC and DOB meet at K apart from O. Then is .
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See a problem from Russia 1995.

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"Intersecting Circles and a Right Angle" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/IntersectingCirclesAndARightAngle/
Contributed by: Jay Warendorff
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