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TUYMAADA 2015 S7

    In △ABC\triangle ABC points M,OM,O are midpoint of ABAB and circumcenter. It is true, that OM=R−rOM=R-r . Bisector of external ∠A\angle A intersect BCBC at DD and bisector of external ∠C\angle C intersect ABAB at EE . Find possible values of ∠CED\angle CED D. Shiryaev

    Dataset text AI-MO AoPS. Quoted with source.

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