Divide a Polygon into Triangles - Practice 1

5 questions0m 0s

Learn the skill

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 3-sided polygon? Answer

Question 2 What is the sum of the interior angles, in degrees, of a convex 4-sided polygon? Answer

Question 3 What is the sum of the interior angles, in degrees, of a convex 5-sided polygon? Answer

Question 4 What is the sum of the interior angles, in degrees, of a convex 6-sided polygon? Answer

Question 5 What is the sum of the interior angles, in degrees, of a convex 7-sided polygon? Answer