MathDB
Easy Geometry

Source: 1999 National High School Mathematics League, Exam Two, Problem 1

March 10, 2020
geometry

Problem Statement

In convex quadrilateral ABCDABCD, ∠BAC=∠CAD\angle BAC=\angle CAD. EE lies on segment CDCD, BEBE and ACAC intersect at F,F, DFDF and BCBC intersect at G.G. Prove that ∠GAC=∠EAC\angle GAC=\angle EAC.
Back to ProblemsView on AoPS