Answer:

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (they add up to 180 degrees).

Let's denote the two adjacent angles as "4x" and "5x" (where x is a constant).

Since the opposite angles in a parallelogram are equal, the other pair of adjacent angles will also be "4x" and "5x".

So, we have the following angles in the parallelogram:

Angle A = 4x

Angle B = 5x

Angle C = 4x (opposite to Angle B)

Angle D = 5x (opposite to Angle A)

Now, we know that adjacent angles are supplementary, meaning they add up to 180 degrees:

Angle A + Angle B = 4x + 5x = 9x = 180 degrees

So, x = 20 degrees.

Now that we have the value of x, we can find the values of all angles:

Angle A = 4x = 4 * 20 = 80 degrees

Angle B = 5x = 5 * 20 = 100 degrees

Angle C = 4x = 4 * 20 = 80 degrees

Angle D = 5x = 5 * 20 = 100 degrees

Therefore, the angles of the parallelogram are:

Angle A = 80 degrees

Angle B = 100 degrees

Angle C = 80 degrees

Angle D = 100 degrees.

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