MathDB
Determine the angle PGQ

Source: Baltic Way 2005

December 28, 2010
geometryparallelogramgeometry proposed

Problem Statement

Let the medians of the triangle ABCABC meet at GG. Let DD and EE be different points on the line BCBC such that DC=CE=ABDC=CE=AB, and let PP and QQ be points on the segments BDBD and BEBE, respectively, such that 2BP=PD2BP=PD and 2BQ=QE2BQ=QE. Determine ∠PGQ\angle PGQ.
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