Question

Determine the value of x

Answer 1

Answer:

144

Step-by-step explanation:

Using the corresponding angles theorem, we can find that the angles inside the parallelogram are equal to $\frac{x}{4}$, $\frac{x}{4}$, x, and x.

We also know that all parallelograms have 360 degrees in them.

Using this information, we can say that,

$\frac{x}{4} +\frac{x}{4} +x+x=360$

From here, we can solve for x.

2.5x = 360

x = 144