Question 385321: What polygon, if any, has angle measures that add up to 5400 degrees?
Answer by texttutoring(324)   (Show Source):
You can put this solution on YOUR website! There's a formula to find the angle total of a polygon if you know n, the number of sides.
Angle Total = (n-2) * 180
For this question, you know the angle total is 5400, so solve for n:
5400 = (n-2) * 180
5400 / 180 = n-2
30 = n-2
n = 32
So the polygon has 32 sides. It is called an Icosidodecagon, and you can view it here:
http://mathworld.wolfram.com/Icosidodecagon.html
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