One of the angles of the parallelogram is 60 degrees. find all strong angles. the perimeter of the

One of the angles of the parallelogram is 60 degrees. find all strong angles. the perimeter of the pallelogram is 70 dm. find its sides if one of them is known to be 1.5 times longer than the other.

1)

For a parallelogram, the sum of adjacent angles at the vertices is 1800, and the angles at opposite vertices are equal.

Then the second angle is: 180 – 60 = 120.

Answer: The angles of the parallelogram are 60, 120, 60, 120.

2)

Let the smaller side of the parallelogram be equal to X cm, then, by condition, its larger side is equal to 1.5 * X cm.

In a parallelogram, the lengths of the opposite sides are equal.

Then P = 2 * (X + 1.5 * X) = 70.

5 * X = 70.

X = 70/5 = 14 cm.

14 * 1.5 = 21 cm.

Answer: The sides of the parallelogram are 14 cm, 21 cm.