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The quadrilaterals with all angles congruent are rectangles and squares. They are the only quadrilaterals in which all four angles are right angles.
A right trapezoid can have no congruent sides and two right angles.
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YesIt does in fact it has all four right angles.
A rhombus with 4 congruent angles is a rectangular rhombus having interior angles that are all right angles (90°) and therefore it is a square.