Q: What polygon has two sets of parallel sides but no right angles?

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a rhombus, a quadrilateral without right angle, a quadrilateral with equal opposite parallel sides but no right angles

it's a trapezoid

There is nothing because if the shape has only four sides and that means two sets that are parallel, the angles will have to be right ones. Unless it's not a polygon that is. I take it back maybe a parallelogram.

TRAPEZOID

A rectangle is a four sided polygon with four right angles and two pairs of parallel side. [Equal sides is not required since it is implied by parallel and right angles].

Related questions

A right trapezoid is a four-sided polygon with two right angles and two parallel sides.

A polygon with 4 or more sides can meet these requirements.

A parallelogram has 2 pairs of parallel sides.

A pallelogram or rhombus

A rhombus or a parallelogram

The given description fits that of a square which has 4 equal sides, opposite sides are parallel and it has 4 interior right angles

A rectangle is a quadrilateral with opposite sides parallel and congruent and four right angles. If all four sides are congruent, it is a square.

A rectangle is a quadrilateral with opposite sides parallel and congruent and four right angles. If all four sides are congruent, it is a square.

a rhombus, a quadrilateral without right angle, a quadrilateral with equal opposite parallel sides but no right angles

it's a trapezoid

A triangle having all angles less than 90 degrees is a polygon having no parallel sides and all acute 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.