trapizoid
The shape you are describing is a rectangle. A rectangle is a type of quadrilateral that has two pairs of parallel sides, opposite sides that are equal in length, and all interior angles measuring 90 degrees. If all four sides of the rectangle are also equal in length, it is specifically known as a square.
square
trapizoid
squarerectangletrapezoidrhombus
The shape you are describing is a rectangle. However, since it has no parallel sides and all angles are equal, it seems you might be referring to a rhombus or a square, which also have equal angles but do have parallel sides. A shape with no parallel sides and equal angles would typically be a regular polygon with at least three sides, like an equilateral triangle. Please clarify if you're looking for something specific!
A parallelogram.
Most irregular polygons.
Rectangle
That shape would be a trapezoid.
Pentagon
A square
A rhombus has 4 sides of equal length, opposing parallel sides, and no right angles