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

60 degrees
60 degrees

330 degrees
330 degrees

30 degrees

Answer 1

In a parallelogram, opposite angles are equal and consecutive angles are supplementary (i.e., they add up to 180 degrees).

Given that the angle at point Y is 30 degrees, we can find the measure of the angle at point X:

Angle W + Angle Y = 180 degrees

Since angle Y is 30 degrees:
Angle W + 30 degrees = 180 degrees

Thus,
Angle W = 180 degrees - 30 degrees = 150 degrees.

Since W and X are opposite angles in the parallelogram, angle X will also equal angle W:

Angle X = 150 degrees.

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