2001 IMO Shortlist Problems/G8

Problem

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?

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2001 IMO Shortlist Problems/G8

Problem

Solution

Resources