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circumcircle of A,B, and orthocenter, meets AC,BC at interior points, <C ?

Source: Sharygin Geometry Olympiad 2015 Final 8.2

August 1, 2018
geometryorthocenterangle

Problem Statement

A circle passing through A,BA, B and the orthocenter of triangle ABCABC meets sides AC,BCAC, BC at their inner points. Prove that 60o<∠C<90o60^o < \angle C < 90^o .
(A. Blinkov)
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