Question 1003128
There are two triangles

The two triangles are similar

Therefore
{{{x/(x+2) =1/x}}}  ratios of sides of similar triangles

x^2= x+2

x^2-x-2=0

x^2-2x+x-2=0

x(x-2)+1(x-2)=0

(x-2)(x+1)=0

x = OR -1

ignore negative

x= 2