Question

These two triangles are congruent by the hypotenuse leg theorem

Answer 1

since we already know the triangles are congruent by HL, that simply means that

x - y = x + 2

and

2x - y = 4x + 2y

therefore

$\bf \stackrel{Legs}{x-y=x+2}\implies -y=2\implies \boxed{y=-2}\\\\ -------------------------------\\\\ \stackrel{Hypotenuses}{2x-y=4x+2y}\implies 2x-(\stackrel{y}{-2})=4x+2(\stackrel{y}{-2})\implies 2x+2=4x-4 \\\\\\ 6=2x\implies \cfrac{6}{2}=x\implies \boxed{3=x}$