Infinitely many.
2 pairs, the sides opposite each other are congruent to each other
A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.
2 pairs
This is a parallelogram. The first requirement is 2 pairs of congruent sides where the congruent sides are not adjacent. This is like a rectangle (excluding a square) that has two pairs of congruent sides where the congruent sides are not adjacent. But the angles are not all congruent (as set in the question) which pushes the shape into the "next less regular" shape, the parallelogram. The angles will not all be congruent, but it will have 2 pairs of congruent angles. There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement).
Six. If the sides are labelled a, b, c and d then the congruent pairs are: ab, ac, ad, bc, bd and cd
A parallelogram has two pairs of congruent sides.
2 pairs, the sides opposite each other are congruent to each other
In a rhombus, all of the sides are congruent, so 4.
A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.
Opposite sides of a parallelogram are congruent and so it has 2 pairs of congruent sides.
A square has four pairs of congruent sides. In a square, all four sides are equal in length, which means each side is congruent to the others. Therefore, you can count each pair of opposite sides as congruent, resulting in a total of four pairs.
A trapezoid may have zero or one pair of congruent sides.
2 pairs
2
A parallelogram has two pairs of congruent sides.
A quadrilateral with congruent pairs of adjacent sides and no parallel sides is a kite.
All sides of a square are congruent.