x + x + [ x + 36 ] + [ x + 36 ] = 360

4x + 72 = 360

x + 18 = 90

x = 72

Angles are 72⁰ , 72⁰ , 108⁰ , 108⁰

x + (x+36) = 180

x = 72°

x+36 = 108°

There are two 72° angles and two 108° angles.

Well, opposite angles in a parallelogram are congruent, so they can't be talking about opposite angles. They must be talking about two angles that are adjacent. In a parallelogram, adjacent angles are always supplementary (add to be 180°)

Let x be the smaller angle.

Let x+36 be the larger angle.

Together these add to be 180°:

x + x + 36 = 180

2x = 144

x = 72

And the other angle is 36 more than that.

x + 36 = 108

Answer:

72° and 108°

x - (180-x) = 36

2x = 180+36

x = 90+18

x = 108°

So the angles are 108° and 180-108 = 72°.

The other two angles of the parallelogram are also 108° and 72°.