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Crappy drawing, I know, but a right trapezoid has two right angles(right side of picture), and two supplimentary non-right angles(left side of drawing).
This is still a trapezoid because in order to be a trapezoid, there must be one and only one pair of parallel lines, and four sides. That's it, thus this is a possible trapezoid.
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a right trapezoid
A right trapezoid has at least two right angles.
A trapezoid can have up to two right, 90 degree angles for it still to be classified as a trapezoid.
A trapezoid may have two right angles.
A trapezoid may have no right angles, or it may have two adjacent ones.