Question

use the image to answer the 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) 30 degrees 330 degrees 60 degrees 150 degrees

Explanation:

Step1: Recall property of parallelogram

Adjacent angles of a parallelogram are supplementary, i.e., their sum is 180 degrees. Angle $X$ and angle $Y$ are adjacent angles in parallelogram $WXYZ$.

Step2: Set up the equation

Let the measure of angle $X$ be $x$. We know that $\angle Y = 30^{\circ}$, and $x+\angle Y=180^{\circ}$. So $x + 30^{\circ}=180^{\circ}$.

Step3: Solve for $x$

Subtract 30 degrees from both sides of the equation: $x=180^{\circ}- 30^{\circ}=150^{\circ}$.

Answer:

150 degrees