BY-MO 1999 Problem 7
Let O be the center of circleW. Two equal chords AB and CDofWintersect at Lsuch that AL>LBand DL>LC. Let MandNbe points on AL and DL respectively such that (ALC)=2*(MON). Prove that the chord of W passing through Mand N is equal to AB and CD.
Dataset text AI-MO AoPS. Quoted with source.
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