MathDB
Estonian Math Competitions 2005/2006

Source: Final Round Grade 9 Pro 3

July 30, 2008
trigonometrygeometry unsolvedgeometry

Problem Statement

Triangle ABC ABC is isosceles with AC \equal{} BC and \angle{C} \equal{} 120^o. Points D D and E E are chosen on segment AB AB so that |AD| \equal{} |DE| \equal{} |EB|. Find the sizes of the angles of triangle CDE CDE.