Answer:

In a parallelogram, opposite angles are congruent (equal). Therefore, if the sum of a pair of opposite angles is 156°, then each of those angles is half of 156°.

Let's call one of the opposite angles x. We know that the other opposite angle is also x. So, we can say that 2x = 156°, because the sum of the two angles is 156°.

To find x, we can divide 156° by 2:

2x = 156°

x = 156°/2

x = 78°

So, each of the opposite angles in the parallelogram is 78°.

To find the remaining angles, we know that adjacent angles in a parallelogram are supplementary, meaning they add up to 180°. Since the opposite angles are congruent, the remaining angles are also congruent.

Let's call one of the remaining angles y. We know that the other remaining angle is also y. So, we can say that 2y = 180°, because the sum of the two angles is 180°.

To find y, we can divide 180° by 2:

2y = 180°

y = 180°/2

y = 90°

So, each of the remaining angles in the parallelogram is 90°.