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< BAD = 30^o if <ADB = 45^o, <ACB = 30^o for median AD of ABC

Source: 2022 Portugal p4 OPM

March 26, 2024
anglesmediangeometry

Problem Statement

Let [AD][AD] be a median of the triangle [ABC][ABC]. Knowing that ∠ADB=45o\angle ADB = 45^o and ∠ACB=30o\angle A CB = 30^o, prove that ∠BAD=30o\angle BAD = 30^o.
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