MathNet 2009-part-01 — 175 problems (EN–VI) Question 166

From the vertex $A$ of an equilateral triangle $AB\Gamma$ we draw the ray $Ax$ which intersects the side $B\Gamma$ at $\Delta$. On $Ax$ we consider a point $E$ such that $BA = BE$. Find the angle $A\hat{E}\Gamma$.