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RU-ALLRUSSIAN 1980 Problem 15

  • Answer

ABC is equilateral. A line parallel to AC meets AB at M and BC at P. D is the center of the equilateral triangle BMP. E is the midpoint of AP. Find the angles of DEC.

Dataset text NuminaMath olympiads. Quoted with source.

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90^{\circ}, 60^{\circ}

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