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There are actually two answers. parallelogram and trapezoid. No. wait, a square or rectangle is a parallelogram, so I can't rule out that entire class. I guess you are left with trapezoid. Oh wait, a trapezoid can have two right angles and still fit the definition, so I can't rule out that entire class.

A non-right triangular section would fit. A non-right trapezoid would be the same thing, I guess. A non-right parallelogram would also work.

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Q: What quadrilateral has one pair of parallel sides and no right angles?
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