SOLUTION: What is the name of the polygon whose interior angles have a sum of 540 degrees? Thanks, Amanda

Algebra ->  Algebra  -> Polygons -> SOLUTION: What is the name of the polygon whose interior angles have a sum of 540 degrees? Thanks, Amanda       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 149616: What is the name of the polygon whose interior angles have a sum of 540 degrees?

Thanks,
Amanda

Found 2 solutions by Fombitz, ayman11:
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the sum of interior angles for an n-sided polygon is
S=180%2A%28n-2%29
In your case,
540=180%2A%28n-2%29
n-2=3
n=5
A five sided polygon is a pentagon.

Answer by ayman11(2) About Me  (Show Source):
You can put this solution on YOUR website!
( n - 2 ) * 180 = 540

n - 2 = 540 ÷ 180

n - 2 = 3
n = 2 + 3
n = 5
then its called a " Penagon "