Respuesta :
17 side how many sides does a polygon have if the sum of its angle measures is 2700. So there are 17 sides. Answer
Answer: 17 sides
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Work Shown:
S = sum of all interior angles of a polygon
S = 180(n-2)
2700 = 180(n-2)
180(n-2) = 2700
n-2 = 2700/180
n-2 = 15
n = 15+2
n = 17
There are 17 sides to this polygon.
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Extra info (optional section):
We call this a 17-gon. Simply start with "n-gon" and replace n with 17.
You could also call it a heptadecagon
hepta = 7
deca = 10
so heptadeca means 17. Personally, I prefer 17-gon as the better name since it's easier to remember.