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JBMO-SL 2002 Problem 9

    In triangle ABC,H,I,OABC,H,I,O are orthocenter, incenter and circumcenter, respectively. CICI cuts circumcircle at LL . If AB=ILAB=IL and AH=OHAH=OH , find angles of triangle ABCABC .

    Dataset text AI-MO AoPS. Quoted with source.

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