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) 150 degrees 30 degrees 330 degrees 60 degrees

Explanation:

Step1: Recall property of parallelogram

Adjacent angles in a parallelogram are supplementary, meaning they add up to 180 degrees.

Step2: Identify adjacent angles

In parallelogram \(WXYZ\), \(\angle X\) and \(\angle Y\) are adjacent angles.

Step3: Calculate \(\angle X\)

Let \(\angle X=x\) and \(\angle Y = 30^{\circ}\). Since \(x+\angle Y=180^{\circ}\), then \(x = 180^{\circ}-\angle Y\). Substituting \(\angle Y = 30^{\circ}\), we get \(x=180 - 30=150^{\circ}\).

Answer:

150 degrees