IMO Shortlist 1979 problem 17


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2. travnja 2012.
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Inside an equilateral triangle ABC one constructs points P, Q and R such that
\angle QAB = \angle PBA = 15^\circ,\\ \angle RBC = \angle QCB = 20^\circ,\\ \angle PCA = \angle RAC = 25^\circ.
Determine the angles of triangle PQR.
Izvor: Međunarodna matematička olimpijada, shortlist 1979