If an angle of a parallelogram is two-third of its adjacent angle,

Let the measure of the angle be x.

Therefore, the measure of the angle adjacent is 2x/3

We know that the adjacent angle of a parallelogram is supplementary.

Hence, x + 2x/3 = 180°

2x + 3x = 540^°

⟹ 5x = 540^°

⟹ x = 108^°

Adjacent angles are supplementary

⟹ x + 108^° = 180^°

⟹ x = 180^° - 108^° = 72^°

⟹ x = 72^°

Hence, four angles are 180^°, 72^°, 180^°, 72^°