SOLUTION: how many sides would a regular polygon have with an angle of 174 degrees plz help!! :/ xx

Question 242890: how many sides would a regular polygon have with an angle of 174 degrees plz help!! :/ xx
Found 2 solutions by JimboP1977, Alan3354:
Answer by JimboP1977(311) (Show Source): You can put this solution on YOUR website!
Well regular means that the polgon has equal interior angles. The formula for the interior angle of a regular polygon is where n is the number of sides.
So we know the interior angle is 174 and we need to find out what n is.

So n = 60
Does that makes sense?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
There's a shortcut:
n = 360/(180 - angle)
n = 360/(180-174) = 360/6
n = 60 sides
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Note that not all angles work.
If you enter 173 degrees, you don't get an integer for the number of sides because there is no such polygon.
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