Respuesta :

Answer:

[tex]x\text{ = 25}[/tex]

Explanation:

Here, we want to find the value of x that makes the given quadrilateral a parallelogram

Mathematically, for a parallelogram,opposite edges have equal angles

Thus, the vertex at A is 2x too

The sum of angles on a side containing two vertices is 180

Thus:

[tex]\begin{gathered} 2x\text{ + 130 = 180} \\ 2x\text{ = 180-130} \\ 2x\text{ = 50} \\ x\text{ = }\frac{50}{2} \\ x\text{ = 25} \end{gathered}[/tex]