The sum of the degree measures of the two angles of the parallelogram is 150. Find the degree measure of the obtuse angle of the parallelogram.
Since the sum of the degree measures of the angles of the parallelogram is 150, this is the sum of opposite acute angles. Then the acute angle is:
Angle 1 = 150/2 = 75.
The sum of the adjacent angles of the parallelogram is 180. Then the obtuse angle is:
Angle 2 = 180 – 75 = 105.
Answer: The degree measure of an obtuse angle is 105.
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