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Such a quadrangle cannot exist. The right angle must be formed by one of the parallel sides and one of the non-parallel sides. Then the angle formed at the other end of that non-parallel side would also be a right angle (the non-parallel side would be a transversal intercepting the two parallels). But then the quadrangle has two right angles, and not just one.

No its Trapezoid

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Q: What quadrangle has one pair of parallel sides and one right angle?
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