SOLUTION: 26) 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

Question 161891This question is from textbook
: 26)
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: 2n sides.
Answer by today would be greatly appreaciated! Thank you! This question is from textbook

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
S=n(180-(360/n)) __ S=180n(1-(2/n)) __ S=180(n-2) __ S=180n-360

S2=180(2n-2) __ S2=2(180n-180) __ S2=2(180n-360+180) __ substituting __ S2=2(S+180)
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