When does a parallelogram become a rectangle?
When all four internal angles become right angles.
A parallelogram is a quadrilateral whose opposite sides are parallel and equal, and whose opposite angles are equal; however, its angles are generally oblique and need not measure 90°.
A rectangle is defined as a special parallelogram in which every interior angle is a right angle, so the condition that converts one into the other lies in the angles, not the sides.
In any parallelogram the co-interior (adjacent) angles are supplementary, adding up to 180°.
Therefore, the moment a single interior angle becomes 90°, its neighbour must also be 90°, and by the opposite-angle property all four angles become right angles automatically.
This makes the sides meet perpendicularly and the figure satisfies the rectangle definition exactly.
Making two adjacent sides equal instead produces a rhombus, and perpendicular diagonals likewise describe a rhombus or square, so those options do not define a rectangle.
Unequal boundary sides do not follow the parallelogram rule at all, since opposite sides must stay equal.
Hence, the answer is When all four internal angles become right angles.
In the following figure, RS ∥ TU. Find the value of ∠PQR − ∠PRQ, if ∠QTU + ∠PRQ = 130° and ∠RPQ = 80°.

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