It's impossible for a quadrilateral to have no equal sides and have right angles.
A general quadrilateral.
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.
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 quadrilateral with no right-angles would be a rhombus (or parallelogram) A rhombus has four sides, with opposite corner angles equal.