SOLUTION: Each interior angle of a regular convex polygon measures 160. How many sides does this polygon have?

Question 1037688: Each interior angle of a regular convex polygon measures 160. How many sides does this polygon have?
Found 2 solutions by jorel555, Alan3354:
Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
Each interior angle of a "regular" polygon = 180(n-2)/n, where n = the number of sides in the polygon. So,
180(n-2)/n=160
180n-360=160n
20n=360
n=36/2=18
This polygon has 18 sides!!!!!!!!!!!!!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Each interior angle of a regular convex polygon measures 160. How many sides does this polygon have?
--------
Ext angles = 180 - 160 = 20
n = 360/20 = 18 sides
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