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How many sides would a polygon have whose interior angles are exactly 179 degrees?
Wiki User
∙ 12y ago
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.
Wiki User
∙ 12y ago
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Is There 250 degrees in the sum of the interior angles of a polygon.?
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