For a polygon to be convex means that given any two points on or inside the polygon, the line join- ing the points lies entirely inside the polygon. Use mathematical induction to prove that for every integer n > 3, the angles of any n-sided convex polygon add up to 180(n- 2) degrees
For a polygon to be convex means that given any two points on or inside the polygon, the line join- ing the points lies entirely inside the polygon. Use mathematical induction to prove that for every integer n > 3, the angles of any n-sided convex polygon add up to 180(n- 2) degrees
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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Question
For a
two points on or inside the polygon, the line join-
ing the points lies entirely inside the polygon. Use
mathematical induction to prove that for every
integer n > 3, the angles of any n-sided convex
polygon add up to 180(n- 2) degrees.
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