An isosceles trapezoid would seem to fit the given description.
square
In two dimensions, lines can be parallel, angles cannot. So no plane shape has parallel angles.
a square
A shape with no right angles and one pair of parallel lines would be called a trapezoid in the USA, and a trapezium in Britain.
A Trapizoid.
square
A shape that has 4 right angles and 2 pairs of parallel lines is a rectangle. In a rectangle, all four angles are right angles, meaning they measure 90 degrees each. Additionally, opposite sides of a rectangle are parallel, resulting in two pairs of parallel lines within the shape.
In two dimensions, lines can be parallel, angles cannot. So no plane shape has parallel angles.
a square
trapizoid
A rhombus
A shape with no right angles and one pair of parallel lines would be called a trapezoid in the USA, and a trapezium in Britain.
Parallelogram
A Trapizoid.
A parallelogram.
The rhombus.
trapezoid