Find the angles of the parallelogram if one of them is 36 degrees less than the other.

A parallelogram is a quadrangle whose sides are parallel in pairs.

Parallelogram angles properties:

Opposite angles are equal.
The sum of adjacent angles is 180 °. (Internal one-sided corners at the intersection of two parallel secant lines).

If the parallelogram is ABCD, then angle A + Angle B = 180 °, angle A is 36 ° greater than angle B, so angle A is angle B = 36 °.

angle A + angle B = 180 °

angle A – angle B = 36о

We add these equalities, the right side with the right, the left with the left.

angle A + angle B + angle A – angle B = 180 ° + 36 °.

Lodge B – will be mutually destroyed.

2 * angle A = 216о;

Angle A = 216 °: 2 = 108 °.

108о – angle В = 36о;

angle В = 108о – 36о = 72о.

Answer: 72o, 108o.