Use the image to answer the question.

Question

Parallelogram upper X upper Y upper Z upper W is shown. Vertex upper X is on the top left. Vertex upper W is on the bottom left.

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)
Responses

330 degrees
330 degrees

60 degrees
60 degrees

30 degrees
30 degrees

150 degrees

Answer 1

In a parallelogram, opposite angles are equal and adjacent angles are supplementary (they add up to 180 degrees). Since the interior angle at point Y measures 30 degrees, the angle at point X can be calculated as follows:

• The angle at point Y is 30 degrees.
• The angle at point X (adjacent to Y) will be:

180 degrees - 30 degrees = 150 degrees.

So, the measure of the interior angle at point X is 150 degrees.