MathDB
Prove that ∠PNA = ∠AMB - [UKRMO 2009 Grade 9]

Source:

January 23, 2011
geometrycircumcircleparallelogramcyclic quadrilateralgeometric transformationgeometry proposed

Problem Statement

In triangle ABCABC points M,NM, N are midpoints of BC,CABC, CA respectively. Point PP is inside ABCABC such that ∠BAP=∠PCA=∠MAC.\angle BAP = \angle PCA = \angle MAC . Prove that ∠PNA=∠AMB.\angle PNA = \angle AMB .
Back to ProblemsView on AoPS