McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Chapter 3.5, Problem 7WE
To determine
To find: The sum of all exterior
Expert Solution & Answer
Answer to Problem 7WE
Two sum of all exterior angles of a pentagon as well as hexagon is always 360 degree as obtained by measuring them also.
Explanation of Solution
Given information: Any pentagon is given and its all exterior angles are arranged, having common vertex, so that to find their sum of all such exterior angles as shown in below figure,
Concept used: Theorem 3.14 to be used, states that, “The sum of the measures of the exterior angles of any convex
Calculation: All exterior angles of convex polygon are arranged as shown in above figure and on measuring all of them, their sum is found as 360 degree. Also, in below hexagon also, the sum of all exterior angles, measured is calculated as 360 degree. So, both statements support the statement of theorem 3.14.
Conclusion: Thus, sum of all exterior angles of any of the convex polygon always remains the same that is 360 degree always.
Chapter 3 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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