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A rhombus, an equal sided parallelogram or an equal sided quadrilateral with no right angles.
A parallelogram is a four sided polygon with opposing parallel sides of equal length. Then if it has four right angles, the polygon becomes a rectangle.
A rhombus would fit the given description.
A four-sided polygon with all sides equal and no right angles would be a rhombus. A rhombus consists of two acute angles and to obtuse angles.
All polygons can have right angles except for circle and ovulated shapes. The only 'regular polygon' that has a right angle is the quadrilateral.