SOLUTION: Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?

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Question 176831: Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?
Found 3 solutions by solver91311, MathLover1, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
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The measure in degrees of an interior angle of a regular polygon is given by %28180%28n-2%29%29%2Fn. Given that the measure is 150°, we can say:

%28180%28n-2%29%29%2Fn+=+150

Just solve the equation for n. Write back and tell me your answer.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Interior-Angle=+180degrees+-%28360%2Fn%29degrees

150degrees=+180degrees+-%28360%2Fn%29degrees
-30degrees=+-%28360%2Fn%29degrees.....both sides multiply by -1
+30degrees=+360degrees%2Fn
+n=+360degrees%2F30degrees+
+n=+12+

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?
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Angle = (n-2)*180/n
150 = (n-2)*180/n
150n = 180n-360
-30n = -360
n = 12