Two opposite angles of a parallelogram are (6x - 17)° and (x + 63)°. Find each angle of the parallelogram.

In a parallelogram, opposite angles are equal.

⇒ (6x - 17)° = (x + 63)°

⇒ 5x° = 80°

⇒ x° = $\dfrac{80°}{5}$

⇒ x° = 16°

Then, first angle = (6x - 17)°

= (6 $\times$ 16 - 17)°

= (96 - 17)°

= 79°

Second angle = 180° - 79° = 101°

In a parallelogram, consecutive angles are supplementary, meaning their sum is 180°. So, the other pair of opposite angles is:

180° - 79° = 101°

Hence, the four angles of the parallelogram are 79°, 101°, 79° and 101°.