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OME 1991 Problem 4

    The incircle of ABCABC touches the sides BC,CA,ABBC,CA,AB at A′,B′,C′A' ,B' ,C' respectively. The line A′C′A' C' meets the angle bisector of ∠A\angle A at DD . Find ∠ADC\angle ADC .

    Dataset text AI-MO AoPS. Quoted with source.

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