Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 2 - Section 2.5 - Convex Polygons - Exercises - Page 114: 12

Answer

A) 360 degrees B) 360 degrees

Work Step by Step

A) We know that the interior angles of a pentagon are 108 degrees each, so the exterior angles are 72 degrees each. Since there are 5 angles, it follows that the sum is: (72)(5)=360 degrees. B) The interior angles of a pentagon are each 120 degrees, so the exterior angles are each 60 degrees. Since there are 6 angles, the sum is (60)(6)=360 degrees.
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