The 80-80-20 Triangle Problem, A Derivative   ABC is an isosceles triangle with vertex angle BAC = 20° and AB = AC. Point E is on AB such that AE = BC. Find the measure of AEC. (This problem has been invented by Sergey Yurin, at the time a ninth grade student, and reported in [Knop]. Solutions Solution #1 Solution #2 Solution #3 Solution #4 Solution #5 Solution #6 Reference C. Knop, A Story with Geometry, or Nine Solutions to One Problem, Kvant, 1993, no 6, Solution 1. Copyright © 1996-2008 Alexander Bogomolny

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