A simple closed polygon consists of n points in the plane

Chapter 2, Problem 72

(choose chapter or problem)

A simple closed polygon consists of n points in the plane joined in pairs by n line segments; each point is the endpoint of exactly 2 line segments. Following are two examples. (a) (b) a. Use the first principle of induction to prove that the sum of the interior angles of an n-sided simple closed polygon is (n 2)180 for all n 3. b. Use the second principle of induction to prove that the sum of the interior angles of an n-sided simple closed polygon is (n 2)180 for all n 3.

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