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IMO 1979 - Shortlisted problems Question 17

IMO Shortlist · IMO 1979 - Shortlisted problems

Question 17

(NET 1) Inside an equilateral triangle $ABC$ one constructs points $P,Q,R$ such that
$$\angle QAB=\angle PBA=15^\circ,\qquad\angle RBC=\angle QCB=20^\circ,\qquad\angle PCA=\angle RAC=25^\circ.$$
Determine the angles of triangle $PQR$.