Find all the angles of the parallelogram if the difference between two of them is 60 degrees.

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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