Find the angles of a parallelogram, considering that one of them is 20% of the other.

Let us denote by the variable A the largest of the angles of the parallelogram, then, respectively, according to the condition of our problem, the smaller of the angles of our parallelogram will be equal to 0.2 x A.

Let’s compose and solve an equation with one unknown A.

2 x (A + 0.2 x A) = 360.

A + 0.2 x A = 360: 2.

A x (1 + 0.2) = 180.

A x 1.2 = 180.

A = 180: 1.2.

A = 150.

We get that the larger angle of our parallelogram is 150 °.

Now we will find the value of the smaller angle of our parallelogram.

A x 0.2 = 150 x 0.2 = 30.

We get that the smaller angle of our parallelogram is 30 °.

Thus, the angles of our parallelogram are 150 ° and 30 °, respectively.