IMO Shortlist 1979 problem 17
Dodao/la:
arhiva2. travnja 2012. Inside an equilateral triangle
one constructs points
and
such that
Determine the angles of triangle
%V0
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