a square.
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No, not really. Take a kit for example. The shape is the shape of a rhombus, but the angles are not equal.
A rectangle.
No. For example a parallelogram does not have any right angles. The internal angles of all four sided shapes will always equal 360 degrees, but do not necessarily have to include right angles.
Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.
A square has 4 equal sides with 4 right angles.