MathDB
2<BCQ =<AQP in a square, <QPN = <NCB, NC=NP (Ukr. Geom. Olympiad '20 VIII p4)

Source:

June 8, 2020
geometryequal segmentsequal anglesanglessquare

Problem Statement

On the sides ABAB and ADAD of the square ABCDABCD, the points NN and PP are selected respectively such that NC=NPNC=NP. The point QQ is chosen on the segment ANAN so that ∠QPN=∠NCB\angle QPN = \angle NCB. Prove that 2∠BCQ=∠AQP2\angle BCQ = \angle AQP.
Back to ProblemsView on AoPS