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).
This is a rectangle.
Diamond
Parallelogram
No, it has four pairs. If the sides are labelled a, b, c and d, the four adjacent pairs are ab, bc, cd and da. The fourth can be derived from the other three. However, two pairs is not enough for a rhombus. A kite, for example, has two pairs of congruent adjacent sides: ab and cd.
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).
Square
obtuse
A square or a rhombus
a parallelogram.
A quadrilateral with congruent pairs of adjacent sides and no parallel sides is a kite.
rectangle
This is a rectangle.
Diamond
Trapezoid.
You have described a rectangle.
A kite is a four-sided polygon with two pairs of congruent adjacent sides.