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fixed point fro line MN, <CAM=<CAN

Source: TOT 347 1992 Autumn A J5 - Tournament of Towns

June 10, 2024
geometryfixedFixed point

Problem Statement

An angle with vertex OO and a point AA inside it are placed on a plane. Points MM and NN are chosen on different sides of the angle so that the angles CAMCAM and CANCAN are equal. Prove that the straight line MNMN always passes through a fixed point (or is always parallel to a fixed line).
(S Tokarev)
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