SOLUTION: The sum of the interior angles of a certain polygon is 3420 degrees. How many sides does the polygon have?

Algebra ->  Polygons -> SOLUTION: The sum of the interior angles of a certain polygon is 3420 degrees. How many sides does the polygon have?      Log On


   



Question 949570: The sum of the interior angles of a certain polygon is 3420 degrees. How many sides does the polygon have?
Found 2 solutions by Alan3354, macston:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the interior angles of a certain polygon is 3420 degrees. How many sides does the polygon have?
-------------
3420/180 = 19
--> 21 sides

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
n=number of sides
180(n-2)=3420 Divide each side by 180.
n-2=19 Add 2 to each side.
n=21
ANSWER A polygon whose interior angles have a sum of 3420 degrees has 21 sides.