A trapezoid would fit the given description and not a parallelogram because it has two sets of parallel lines.
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A trapezoid
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.
trapezoid
Parallel lines are lines that run side by side and never meet. Perpendicular lines are lines that meet in one point, forming four right angles around the point.
A trapezoid has one pair of parallel side and can have two adjacent angles that are right.