If each interior angles is 179 degrees, then the polygon has 360 sides
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If its a regular polygon with each interior angle being 179 degrees then the polygon will have 360 sides.
Interior angles of any polygon with n sides always add up to 180(n-2) degrees. If a polygon is a regular polygon with n sides, and each interior angle is 179 degrees, then its interior angles will add up to 179 n. In both cases, you must get the same result for what the interior angles add up to. So: 179n = 180(n-2). Multiply out the 180 179n = 180n - 360, and subtract 180n from both sides to get -n = -360, so therefore n = 360 and it would have 360 sides.
It will have 360 sides
1 degree because 179+1 = 180 degrees
A supplementary angle will add up to 180 degrees so to find the supplementary angle of 179 degrees, you would take 180-179 to get a 1 degree angle.