Date: Mar 29, 2014 1:06 PM
Author: GabMat
Subject: Euclidean problem


I've some troubles trying to prove this problem:

Given a square (ABCD) , E is an internal point to the square such that the angle ECD = angle EDC = 15°; prove that ABE is an equilateral triangle.

I've just managed to prove that ABE is isosceles, but can't move forward. Hope someone can help me figure out the right path!