SOLUTION: A regular polygon has n equal sides and n equal angles. The measure a of an interior angle in degrees is given by the following equation. a = 180(1 - 2/n) Solve for n. n =

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A regular polygon has n equal sides and n equal angles. The measure a of an interior angle in degrees is given by the following equation. a = 180(1 - 2/n) Solve for n. n =       Log On

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Question 486570: A regular polygon has n equal sides and n equal angles. The measure a of an interior angle in degrees is given by the following equation.
a = 180(1 - 2/n)
Solve for n.
n =

How many sides does the outdoor bandstand shown below have if the performance platform is a regular polygon with interior angles measuring 120°?


Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
a+=+180%281+-+2%2Fn%29 divide by 180
a%2F180=1-2%2Fn
2%2Fn=1-a%2F180
2%2Fn=%28180-a%29%2F180divide by 2
1%2Fn=%28180-a%29%2F360
n=360%2F%28180-a%29
.
How many sides does the outdoor bandstand shown below have if the performance platform is a regular polygon with interior angles measuring 120°?
n=360%2F%28180-120%29
n=360%2F60=6sides