Respuesta :

Answer:

The value of x is 12.

Step-by-step explanation:

As we know that the opposite sides of parallelogram are parallel and congruent. So,

[tex]\twoheadrightarrow{\tt{6x - 6 = 3x + 30}}[/tex]

[tex]\twoheadrightarrow{\tt{6x - 3x = 30 + 6}}[/tex]

[tex]\twoheadrightarrow{\tt{3x = 36}}[/tex]

[tex]\twoheadrightarrow{\tt{x = \dfrac{36}{12}}}[/tex]

[tex]\twoheadrightarrow{\tt{x = \dfrac{\cancel{36}}{\cancel{12}}}}[/tex]

[tex]\twoheadrightarrow{\tt{x = 12}}[/tex]

[tex] \star{\underline{\boxed{\tt{\red{x = 12}}}}}[/tex]

Hence, the value of x is 12.

[tex]\rule{300}{2.5}[/tex]