Estonian Math Competitions 2005/2006
Source: Final Round Grade 9 Pro 3
July 30, 2008
trigonometrygeometry unsolvedgeometry
Problem Statement
Triangle is isosceles with AC \equal{} BC and \angle{C} \equal{} 120^o. Points and are chosen on segment so that |AD| \equal{} |DE| \equal{} |EB|. Find the sizes of the angles of triangle .