Question

in parallelogram wxyz, the interior angle at point y measures 30 degrees. what is the measure of the interior angle at point x? (1 point)

Explanation:

Step1: Recall property of parallelogram

Adjacent angles in a parallelogram are supplementary, i.e., their sum is 180 degrees. Angle $X$ and angle $Y$ are adjacent angles in parallelogram $WXYZ$.
Let the measure of angle $X$ be $x$ and measure of angle $Y$ be $y = 30^{\circ}$. Then $x + y=180^{\circ}$.

Step2: Solve for angle $X$

Substitute $y = 30^{\circ}$ into the equation $x + y=180^{\circ}$. We get $x=180^{\circ}-y$.
$x = 180 - 30=150^{\circ}$

Answer:

150 degrees