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Geometry for people who don't know what the sum of angles of triangle is

Source: Kyiv City MO 2022 Round 2, Problem 7.3

January 30, 2022
geometry

Problem Statement

In triangle ABCABC the median BMBM is equal to half of the side BCBC. Show that ∠ABM=∠BCA+∠BAC\angle ABM = \angle BCA + \angle BAC.
(Proposed by Anton Trygub)
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