The sum of the two angles of a parallelogram is 144 degrees. Find the angles of the parallelogram.

Since the sum of the degree measures of the angles of the parallelogram is 144, this is the sum of opposite acute angles. Then the acute angle is:

Angle 1 = 144/2 = 72.

The sum of the adjacent angles of the parallelogram is 180. Then the obtuse angle is:

Angle 2 = 180 – 72 = 108.

Answer: The angles of the parallelogram are 72 and 108.



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