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Regional Olympiad - FBH 2018 Grade 12 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2018

September 18, 2018
geometrycyclic quadrilateralincircletangentparallel

Problem Statement

Let ABCDABCD be a cyclic quadrilateral and let k1k_1 and k2k_2 be circles inscribed in triangles ABCABC and ABDABD. Prove that external common tangent of those circles (different from ABAB) is parallel with CDCD
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