Find all the angles of the parallelogram if the difference between two of them is 60 degrees.
May 20, 2021 | education
| By the property of a parallelogram, the sum of its adjacent angles is 180.
Let the acute angle BAD = X0, then the obtuse angle ABC, by condition, is (X + 60) 0.
Angle BAD + ABC = 180.
X + X + 60 = 180.
2 * X = 120.
X = BAD = 120/2 = 60.
Angle ABC = 60 + 60 = 120.
In a parallelogram, the opposite angles are equal, then the angle ВСD = 60, the angle АDC = 120.
Answer: The angles of the parallelogram are 60, 120, 60, 120.
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