Question

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

Explanation:

Step1: Recall property of parallelogram

Adjacent angles of a parallelogram are supplementary, i.e., their sum is 180°. $\angle Z$ and $\angle X$ are adjacent angles.

Step2: Set up equation

Let $\angle X = x$. We know that $\angle Z=47^{\circ}$, and $\angle Z+\angle X = 180^{\circ}$. So, $47^{\circ}+x = 180^{\circ}$.

Step3: Solve for $\angle X$

$x=180^{\circ}- 47^{\circ}=133^{\circ}$.

Answer:

$133^{\circ}$