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)
60 degrees
330 degrees
30 degrees
150 degrees

Explanation:

Step1: Recall parallelogram angle - property

Adjacent angles in a parallelogram are supplementary.

Step2: Set up the equation

Let the measure of angle $X$ be $x$ and the measure of angle $Y$ be $y = 30^{\circ}$. Since $x + y=180^{\circ}$ (adjacent - angle property).

Step3: Solve for $x$

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

Answer:

150 degrees