No.
For example a trapezium is not a square but it is a quadrilateral (a shape with 4 sides).
But all squares are quadrilaterals.
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The sum of all four angles is 360 degrees. Thus, you have insufficient information to know the individual angles; you can only know their sum, which is 360 minus the sum of the other two angles.
a polygon does not possess four sides and four angles, except for five and above. Therefore it is a quadilateral.
No. All of a square's sides are the same size.
A square can be a rectangle because a rectangle just has to have four sides and they all have to have right angles, which a square does. But a rectangle can never be a square because a square HAS to have ALL EVEN sides with all right angles. A rectangle possibly could not have all even sides.
All squares are quadrilaterals. All quadrilaterals are not squares. There is no square that is not a quadrilateral.