IMO Shortlist 2001 problem G8
Dodao/la:
arhiva2. travnja 2012. Let

be a triangle with

. Let

bisect

and let

bisect

, with

on

and

on

. If

, what are the angles of the triangle?
%V0
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