Angles of a Parallelogram

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In the figure above, if ABCD is a parallelogram, then x =

Review: Angles of a Parallelogram


Explanation

Since ABCD is a parallelogram, facing angles are equal, as they in fact appear to be. And all of the angles add up to 90 times the number of angles:







Meanwhile, x and the angle next to it, 2y, are complementary to the full measure of a line, which is 180 degrees. Therefore,







The correct answer is (C).


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