Question

if $overline{wx}$ is not parallel to $overline{vy}$, what is $vy$?
$vy = \square$

Explanation:

Step1: Identify congruent segments

Since $\overrightarrow{XY}$ and $\overrightarrow{WV}$ are congruent (marked by arrows), and $\angle W$ and $\angle V$ are congruent, this is a case of a pair of sides and non-included angles being congruent, but since the sides are corresponding and the figure implies that $WX$ corresponds to $VY$ when considering the congruent side-angle pair, we use the property that these corresponding sides are equal.

Step2: Assign the known length

The length of $WX$ is given as 40, so $VY$ equals this length.
$VY = 40$

Answer:

40