no
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it is not possible
It is impossible to have a triangle with 3 right angles. It is possible to draw a triangle with three right angles on the surface of a sphere: www.metacafe.com/watch/769025/270_degree_triangle_yes_3_right_angles
Well, honey, to draw a trapezoid with no right angles, you start by drawing two parallel lines of different lengths. Then you connect the ends of those lines with two slanted lines, making sure they're not perpendicular. Voila, you've got yourself a trapezoid with all angles different from 90 degrees. Now go show off your fancy geometric skills!
No.
Draw two parallel lines of unequal length, and connect their end points. If you have a right angle, it is a right trapezoid. If the non-parallel sides are equal in length, it is an isosceles trapezoid.