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OPM 2022 Problem 4

  • Final day 2

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 .

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2022 official paper, page 1.

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