If you mean on opposite sides yes. There are 2 pairs of congruent angles.
A rectangle has 4 congruent angles. 90 degrees. It is also a parallelogram, 2 pairs of congruent sides.
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).
A rhombus always have 2 pairs of congruent angles, yes.
Isosceles trapezoids have 2 (occasionally 3) equal sides and have 2 pairs of equal angles, but that's not case if they're not isosceles.
2 pairs
A parallelogram has 2 pairs of congruent angles of different sizes
rectangle
A rectangle.
2 pairs
It is a rectangle.
rectangle