It is an isosceles trapezoid
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Two different quadrilaterals have two pairs of parallel sides and have all their angles congruent. They are the square and the rectangle.
two pairs of congruent angles in a rhombus
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 parallelogram if the two pairs are mutually congruent but all four sides are not. A rhombus if all four are.
Pairs of Congruent Angles are Congruent