A trapezoid.
It is not possible for a quadrilateral in Euclidean plane geometry to have no equal angles and still have its opposite sides parallel.It's possible for a quadrilateral to have no equal angles and two of its sides parallel (opposite ones, obviously; adjacent sides can't possibly be parallel). That would be a trapezoid.
A trapezoid (trapezium) has only 2 sides parallel and not all angles equal
rhombus. The rhombus is a quadrilateral with all sides equal in length. It is also a parallelogram, so opposite sides are parallel and equal in length, and opposite angles are equal.
a rhombus, a quadrilateral without right angle, a quadrilateral with equal opposite parallel sides but no right angles
quadrilateral
A trapezium.
A Quadrilateral Kite!
It is a rectangle.
The quadrilateral described is a rectangle. In a rectangle, opposite sides are equal and parallel, and all four angles are right angles. This definition meets the criteria of having one pair of opposite sides that are equal and parallel, along with the presence of right angles.
It is a parallelogramIf one of the angles is a right angle (then they all are) and the quadrilateral is a rectangle.If both pairs of sides are equal in length (but none of the angles is a right angle) the quadrilateral is a rhombus.If the sides are equal and one of the angles is a right angle, the quadrilateral is a square.
A square or maybe a rectangle as well would fit the given description
A rhombus.