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
60 degrees
60 degrees
150 degrees
150 degrees
330 degrees
1 answer
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, which is adjacent to angle Y, must be:
180 degrees - 30 degrees = 150 degrees.
So, the measure of the interior angle at point X is 150 degrees.
