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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

150 degrees
150 degrees

330 degrees
330 degrees

60 degrees

1 answer

In a parallelogram, opposite angles are equal and 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.

Since angles Y and X are adjacent, we can use the following equation:

Angle X + Angle Y = 180 degrees.

Substituting the known value:

Angle X + 30 degrees = 180 degrees.

Now, solve for Angle X:

Angle X = 180 degrees - 30 degrees = 150 degrees.

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