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RU-SPB 2022 Problem 112

    Given is a triangle ABCABC with ∠BAC=45\angle BAC=45 ; AD,BE,CFAD, BE, CF are altitudes and EF∩BC=XEF \cap BC=X . If AX∥DEAX \parallel DE , find the angles of the triangle.

    Dataset text AI-MO AoPS. Quoted with source.

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