Question

Solve for x and y in the parallelogram below.

Answer 1

`\Huge\boxed{x=74}\\\Huge\boxed{y=106}`

Explanation:

Hello There!

In parallelograms opposite sides are congruent and opposite angles are congruent

In the parallelogram shown the angle with a measure of 72 degrees and the angle labeled x are opposite angles therefore is one of the angles equals 72 degrees then so does the other one so x = 72

because a parallelograms sides are parallel the angles that are on the same side are supplementary angles meaning that the sum of the two angles is 180

so basically what I'm saying is that the angle measure 74 and the angle labeled y have a sum of 180

so to find angle y we subtract the given angle from 180

180-74=106 so we can conclude that y = 106