Question

the shape w x y z below is a parallelogram. what is the measure of ∠y? (note that the figure is not drawn to scale.)

Explanation:

Step1: Recall parallelogram property

In a parallelogram, adjacent angles are supplementary, that is the sum of adjacent angles is 180°. Here $\angle W$ and $\angle Y$ are adjacent angles.
If we assume the given angle $\angle W = 42^{\circ}$, then $\angle Y=180^{\circ}-\angle W$.

Step2: Calculate $\angle Y$

$\angle Y = 180 - 42=138^{\circ}$

Answer:

$138^{\circ}$