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Angles in a triangle

Source: JBMO Shortlist 2002

November 12, 2008
geometryincentercircumcirclegeometry proposed

Problem Statement

In triangle ABC,H,I,O ABC,H,I,O are orthocenter, incenter and circumcenter, respectively. CI CI cuts circumcircle at L L. If AB\equal{}IL and AH\equal{}OH, find angles of triangle ABC ABC.
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