IMO Shortlist 2001 problem G8


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2. travnja 2012.
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Let ABC be a triangle with \angle BAC = 60^{\circ}. Let AP bisect \angle BAC and let BQ bisect \angle ABC, with P on BC and Q on AC. If AB + BP = AQ + QB, what are the angles of the triangle?
Izvor: Međunarodna matematička olimpijada, shortlist 2001