Question 195892: I never get how to do these!! They so frustrating! I believe that there's a formula involved, though I'm not sure...
Each interior angle of a regular polygon measures 156°. How many sides does the polygon have?
A: 13
B: 14
C: 15
D: 16
It's not 14, I can tell you that. I don't know why it's not 14 though.
thank you!! :)
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! I never get how to do these!! They so frustrating! I believe that there's a formula involved, though I'm not sure...
Each interior angle of a regular polygon measures 156°. How many sides does the polygon have?
A: 13
B: 14
C: 15
D: 16
It's not 14, I can tell you that. I don't know why it's not 14 though.
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The sum of the interior angles of a polygon (all polygons) is
180º*(n-2) (n is the number of sides)
So, each angle is 180*(n-2)/n
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156 = 180(n-2)/n
156n = 180(n-2)
156n = 180n - 360
-24n = -360
n = 15
15 sides, 15 angles
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