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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

30 degrees
30 degrees

330 degrees
330 degrees

150 degrees
150 degrees

60 degrees
60 degrees
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Answer 1

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

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

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