MathDB
Spiral center?

Source: 2003 Peru Cono Sur TST P3

May 3, 2023
geometry

Problem Statement

Let MM and NN be points on the side BCBC of a triangle ABCABC such that BM=CNBM = CN (MM lies between BB and NN). Points PP and QQ lie on ANAN and AMAM respectively, so that ∠PMC=∠MAB\angle PMC =\angle MAB and ∠QNB=∠NAC\angle QNB = \angle NAC. Prove that ∠QBC=∠PCB\angle QBC = \angle PCB.
Back to ProblemsView on AoPS