Posted by Anonymous on Thursday, December 22, 2011 at 12:07pm.
The interior angles of a quadrilateral total to 180(4-2) = 360 degrees.
So, yes, they will exactly fit around a point.
However, for a pentagon, the angles total to 180(5-2) = 540 degrees, so there's no way you can draw all five angles around a point. There are only 360 degrees in a complete circle.
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