Points In and On the Triangle

In triangle $ABC$ , $D$ and $E$ are points on sides $AB$ and $AC$ respectively, such that $BE$ is perpendicular to $CD$ . Let $X$ be a point inside the triangle such that $∠XBC=∠EBA$ and $∠XCB=∠DCA$ . If $∠A=54°$ , what is the measure of $∠EXD$ in degrees?