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It can, but usually doesn't.
There are only 4 possible numbers which could be measures of the angles for the quadrilateral. Each of the infinitely many other measures, such as 36.57 degrees, could NOT be the measure.
That will depend on what type of 4 sided quadrilateral it is but its 4 interior angles add up to 360 degrees.
No because the 4 interior angles of a quadrilateral add up to 360 degrees
If the diagonals of a quadrilateral are perpendicular to each other, then the quadrilateral is a square.Or a kite.