Such a shape is impossible - in 2 dimensions. But a tetrahedron (4 sided polyhedron) can. To imagine one, look up at the corner of a room, where 2 walls meet the ceiling. There are 3 right angles there. Now measure out a distance from the corner along each edge and put a dot there, then just connect the dots, with the fourth dot being the corner, and you have a tetrahedron with 3 right angles.
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No. A trapezoid is any four sided shape which has at least two parallel sides. If it is four sided, cannot have exactly four right angles.
A square.
A rectangle.
None. All angles are 108 degrees. Sum of interior angles of n-sided figure = (2n - 4) right angles. In a pentagon this is 540 degrees