A bit too easy but try it!

$\triangle ABC$ is a triangle, $E$ and $G$ are points on $AB$ , while $F$ and $H$ are points on $AC$ , such that $AE=AF=EH=FG=HB=GC=BC$ . Then angle $\angle BAC$ is in the form $\dfrac{x}{y}$ , where $x$ and $y$ are coprime positive integers. Find $x+y$ .