MathDB
Midpoints of diagonals of a Cyclic Quadrilateral

Source: Tournament of Towns Fall 2015 Senior A-level

February 23, 2017
geometrycyclic quadrilateral

Problem Statement

Let ABCDABCD be a cyclic quadrilateral, KK and NN be the midpoints of the diagonals and PP and QQ be points of intersection of the extensions of the opposite sides. Prove that ∠PKQ+∠PNQ=180\angle PKQ + \angle PNQ = 180. (77 points) .
Back to ProblemsView on AoPS