SOLUTION: The sum of the measures of the interior angles of a polygon with "n" sides is "S". Without using "n" in your answer, express in terms of "S" the sum of the measures of the angles o

Algebra ->  Polygons -> SOLUTION: The sum of the measures of the interior angles of a polygon with "n" sides is "S". Without using "n" in your answer, express in terms of "S" the sum of the measures of the angles o      Log On


   

Question 506354: The sum of the measures of the interior angles of a polygon with "n" sides is "S". Without using "n" in your answer, express in terms of "S" the sum of the measures of the angles of a polygon with "n +1" sides.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
An n+1-sided polygon can be decomposed into an n-sided polygon and a triangle.

Sum of the measures of the interior angles in an n+1-gon would be S+180.