SOLUTION: Each angle of a regular polygon is 162. How many sides does the Polygon have?

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Question 672498: Each angle of a regular polygon is 162. How many sides does the Polygon have?
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

180%28n-2%29=162n........n in of the sides

180n-360=162n

180n-162n=360

18n=360

n=360%2F18

n=20



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Each angle of a regular polygon is 162. How many sides does the Polygon have?
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Exterior angles = 180 - 162 = 18 degs
n = 360/18
n = 20 sides