# A bit too easy but try it!

Geometry Level 4

$$\triangle ABC$$ 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 $$x+y$$.

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