The triangles are similar, and the sides measuring 6 and 2 are corresponding. The sides measuring x + 2 and x are also corresponding. That allows us to set up a proportion. 6 is to 2 as x + 2 is to x.
[tex] \dfrac{6}{2} = \dfrac{x + 2}{x} [/tex]
[tex] 3 = \dfrac{x + 2}{x} [/tex]
[tex] 3x = x + 2 [/tex]
[tex] 2x = 2 [/tex]
[tex] x = 1 [/tex]
