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Question

The degree measure of the sum of the interior angles of a convex polygon with n sides is 1800. What is the degree measure of the sum of the interior angles of a convex polygon with n + 2 sides?

Accepted Answer

The sum of the measures of the interior angles of an n-gon is 180^(n-2). Therefore, 180(n-2)=1800 n=12. So n+2=14, and the sum of the measures of the interior angles of a 14-gon is 180^(14-2)=2160 degrees.