or an integer n>=3, an n-gon is an n-sided polygon. (example, a 3-gon is a triangle, 4-gon is a quadrilateral, a 5-gon is a pentagon etc.) Use induction to prove that for every integer n>=3, the sum of the interior angles of every n-gon is (n-2) times 180 degrees. (hint: divide a (k+1) -gon into a k-gon and a triangle.)
or an integer n>=3, an n-gon is an n-sided polygon. (example, a 3-gon is a triangle, 4-gon is a quadrilateral, a 5-gon is a pentagon etc.) Use induction to prove that for every integer n>=3, the sum of the interior angles of every n-gon is (n-2) times 180 degrees. (hint: divide a (k+1) -gon into a k-gon and a triangle.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
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For an integer n>=3, an n-gon is an n-sided
Use induction to prove that for every integer n>=3, the sum of the interior angles of every n-gon is (n-2) times 180 degrees.
(hint: divide a (k+1) -gon into a k-gon and a triangle.)
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