Question

parallelogram proofs quick check
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
60 degrees
150 degrees
330 degrees

Explanation:

Step1: Recall the property of parallelogram

In a parallelogram, consecutive angles are supplementary. That is, \(\angle X+\angle Y = 180^{\circ}\)

Step2: Substitute the value of \(\angle Y\)

Given \(\angle Y = 30^{\circ}\), then \(\angle X=180^{\circ}-\angle Y\)

Step3: Calculate \(\angle X\)

\(\angle X=180 - 30=150^{\circ}\)

Answer:

150 degrees