A rhombus.
quadrilateral
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.
rhombus
A rectangle
A Rhombus.
A Rhombus has four equal sides but not (necessarily) four equal angles.
A trapezoid (trapezium) has only 2 sides parallel and not all angles 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 trapezoid.
quadrilateral
A trapezium.
The quadrilateral you are describing is a parallelogram. In a parallelogram, opposite sides are parallel and equal in length, but it does not necessarily have right angles; the angles can be acute or obtuse. Examples of such parallelograms include rhombuses and non-right-angled rectangles.
a rhombus, a quadrilateral without right angle, a quadrilateral with equal opposite parallel sides but no right angles
All quadrilaterals apart from rectangles. Even parallelograms have adjacent angles that are not equal.
A square or maybe a rectangle as well would fit the given description
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.
rectangle