SOLUTION: a regular polygon has an interior angle with a measurement of 160 degrees. How many sides does the polygon have?

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Question 534410: a regular polygon has an interior angle with a measurement of 160 degrees. How many sides does the polygon have?
Found 2 solutions by oberobic, Alan3354:
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
The interior angles of a polygon total (n-2)*180.
A regular polygon has all angles equal.
.
+%28%28n-2%29%2A180%29%2Fn+=+160+
.
+%28n-2%29%2A180+=+160n+
.
+180n+-360+=+160n+
.
+20n+=+360+
.
+n+=+18+
.
The polygon has 18 sides.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a regular polygon has an interior angle with a measurement of 160 degrees. How many sides does the polygon have?
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The exterior angles are 20 degs (180 - 160).
The sum of exterior angles for all polygons is 360 degs.
360/20 = 18 sides