it is a square,trapizoid,or a kite
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If it is exactly one right angle, it can only be a kite or an irregular quadrilateral/ If it is one or more, the above are candidates but what about a rectangle?
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a quadrangle with only one right angle
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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OK, got it! What's the next step ?
A rhombus