The sum of the degree measures of the three angles of the parallelogram is 300 degrees.
| September 3, 2021 | education
The sum of the degree measures of the three angles of the parallelogram is 300 degrees. Find the obtuse angle of this parallelogram.
The parallelogram has the sum of adjacent angles equal to 180. Let the value of the angle A be equal to X0, then the angle B = 180 – X.
Opposite angles of a parallelogram are equal to each other, then:
X + X + 180 – X = 300.
X = 300 – 120 = 140.
Angle A = C = 140, then angle B = D = 180 – 140 = 40.
The obtuse angle is 140.
Answer: 140.
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