olymmath

RU-ALLRUSSIAN 1972 Problem 1

    ABCD is a rectangle. M is the midpoint of AD and N is the midpoint of BC. P is a point on the ray CD on the opposite side of D to C. The ray PM intersects AC at Q. Show that MN bisects the angle PNQ.

    Dataset text NuminaMath olympiads. Quoted with source.

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