Divide a Polygon into Triangles - Practice 2

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A simple convex n-sided polygon can be divided from one vertex into n - 2 triangles. Each triangle contributes 180 degrees to the interior-angle sum.

Worked example

A pentagon divides into 3 triangles, so its interior angles total 540 degrees.

Question 1 What is the sum of the interior angles, in degrees, of a convex 8-sided polygon? Answer

Question 2 What is the sum of the interior angles, in degrees, of a convex 9-sided polygon? Answer

Question 3 What is the sum of the interior angles, in degrees, of a convex 10-sided polygon? Answer

Question 4 What is the sum of the interior angles, in degrees, of a convex 11-sided polygon? Answer

Question 5 What is the sum of the interior angles, in degrees, of a convex 12-sided polygon? Answer