Determine the angles of a parallelogram if angle C = 63°.

To solve this, we use the property of parallelograms where opposite angles are equal and adjacent angles are supplementary. Since angle C = 63°, angle A = 63° (opposite angles are equal). Adjacent angles to C and A (angles B and D) are supplementary, so angle B = 180° - 63° = 117°, and angle D = 180° - 63° = 117°. Therefore: ∠B = 117°, ∠A = 63°, ∠D = 117°.