Question 905815
No, the sum is always an integral multiple of 180 degrees.
If n = # of angles (also the # of sides),
Sum = (n-2)*180, n = 3,4,5 ...
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The minimum value of n = 3.  No polygon has fewer than 3 sides.
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Don't try the old joke, "How many sides does a circle have?"  Answer: 2, inside and outside.