Question

Determine the value of x

Answer 1

144

Explanation:

Using the corresponding angles theorem, we can find that the angles inside the parallelogram are equal to
`(x)/(4)`,
`(x)/(4)`, x, and x.

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

Using this information, we can say that,

`(x)/(4) +(x)/(4) +x+x=360`

From here, we can solve for x.

2.5x = 360

x = 144