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TUYMAADA 2020 J6

    AKAK and BLBL are altitudes of an acute triangle ABCABC . Point PP is chosen on the segment AKAK so that LK=LPLK=LP . The parallel to BCBC through PP meets the parallel to PLPL through BB at point QQ . Prove that ∠AQB=∠ACB\angle AQB = \angle ACB .

    (S. Berlov)

    Dataset text AI-MO AoPS. Quoted with source.

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