MathDB
Angles of 15°, 20° and 25° in equilateral triangle

Source: 6th German TST 2006, 21 may 2006, problem 1

December 29, 2006
geometry proposedgeometry

Problem Statement

Let ABC ABC be an equilateral triangle, and P,Q,R P,Q,R three points in its interior satisfying \measuredangle PCA \equal{} \measuredangle CAR \equal{} 15^{\circ},\ \measuredangle RBC \equal{} \measuredangle BCQ \equal{} 20^{\circ},\ \measuredangle QAB \equal{} \measuredangle ABP \equal{} 25^{\circ}. Compute the angles of triangle PQR PQR.
Back to ProblemsView on AoPS