A parallelogram has two pairs of equal angles, but each pair may be at a different angle. A rectangle has two pairs of equal angles that are also equal to each other.
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A rhombus.
A square would fit the given description
A Rhombus had 2 pairs of parallel sides and has NO right angles. :)
Vertical-A+I believe the answer would be 2 ninety degree angles
A quadrilateral as described is a parallelogram. If the angles between the two sets of parallel lines are 90 degrees, the shape is a rectangle, a special form of parallelogram.