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Some geometry

Source: Moscow Olympiad 2018, Grade 11, P10

April 7, 2018
geometrycircumcircle

Problem Statement

ABCABC is acute-angled triangle, AA1,CC1AA_1,CC_1 are altitudes. MM is centroid. MM lies on circumcircle of A1BC1A_1BC_1. Find all values of ∠B\angle B
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