Respuesta :

Corresponding sides are in the same ratio, therfore
12/x = 6/ 8
6x = 96
x = 16

The value of x in the polygon is 16

Similar Polygon

Polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio.

Therefore, let's establish the proportion s as follows:

  • [tex]\frac{x}{12} =\frac{8}{6}[/tex]

cross multiply

6x = 12 × 8

6x = 96

divide both sides by 6

6x / 6 = 96 / 6

x = 16

learn more on similar polygons here: https://brainly.com/question/10703665