The sum of the two angles of a parallelogram is 140 °. Find the degree measures of all angles of the parallelogram.
May 29, 2021 | education
| Since the sum of the degree measures of the angles of the parallelogram is 140, this is the sum of opposite acute angles. Then the acute angle is:
Angle 1 = 140/2 = 70.
The sum of the adjacent angles of the parallelogram is 180. Then the obtuse angle is:
Angle 2 = 180 – 70 = 110.
Since the parallelogram has opposite angles, the angle A = C = 70, the angle B = D = 110.
Answer: A) 70 °, 70 °, 110 °, 110 °;
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