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No.
Suppose such a polygon has n sides. Then the sum of the interior angles is (n-2)*180 degrees.
Since it is regular, each interior angle is (n-2)*180 / n degrees.
Thus (n-2)*180 / n = 100
(n-2)*180 = 100*n
180n - 360 = 100n
80n = 360
n = 4.5
Sorry, but you cannot have a polygon with 4.5 sides!
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