A circle.
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A shape with five sides would be a pentagon, but a shape can not have 5 right angles. Squares and Rectangles are both shapes with 4 sides and 4 right angles. They are the only shape with the same amount of right angles as there is sides.
A regular 5 sided pentagon is one such example of a shape having no right angles
A cyclic kite. A kite is cyclic if it has only two right angles.
A shape with 4 right angles would be a square or rectangle. A trapezoid does not have any right angles..
The shape of 2 right angles is a square.