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.

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)
Responses

150 degrees
150 degrees

330 degrees
330 degrees

30 degrees
30 degrees

60 degrees

Answer 1

In a parallelogram, opposite angles are equal, and the adjacent angles are supplementary (they add up to 180 degrees).

Given that the interior angle at point Y measures 30 degrees, we can find the angle at point X as follows:

Angle Y + Angle X = 180 degrees
30 degrees + Angle X = 180 degrees
Angle X = 180 degrees - 30 degrees
Angle X = 150 degrees

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