360 degrees
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That depends on the quadrilateral. They will not all have the same measure. Even rectangles will not all have the same central angle measures.
A quadrilateral has 4 sides and its 4 interior angles add up to 360 degrees
a quadrilateral equal then the answer is 360 degrees .
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.
The 4 interior angles of any quadrilateral add up to 360 degrees