Determine the value of x

Answer:
144
Step-by-step explanation:
Using the corresponding angles theorem, we can find that the angles inside the parallelogram are equal to [tex]\frac{x}{4}[/tex], [tex]\frac{x}{4}[/tex], x, and x.
We also know that all parallelograms have 360 degrees in them.
Using this information, we can say that,
[tex]\frac{x}{4} +\frac{x}{4} +x+x=360[/tex]
From here, we can solve for x.
2.5x = 360
x = 144