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Isosceles triangle with angles of 44

Source: Science ON 2021 grade VII/2

March 8, 2021
geometryangles

Problem Statement

In triangle ABCABC, we have ∠ABC=∠ACB=44o\angle ABC=\angle ACB=44^o. Point MM is in its interior such that ∠MBC=16o\angle MBC=16^o and ∠MCB=30o\angle MCB=30^o. Prove that ∠MAC=∠MBC\angle MAC=\angle MBC.
(Andra Elena Mircea)
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