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Determine all angle measures in triangle

Source: 51 Polish MO 2000 Second Round - Problem 4

April 23, 2018
geometryincircleincenterPoland

Problem Statement

Point II is incenter of triangle ABCABC in which AB≠ACAB \neq AC. Lines BIBI and CICI intersect sides ACAC and ABAB in points DD and EE, respectively. Determine all measures of angle BACBAC, for which may be DI=EIDI = EI.
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