Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 7 - Section 7.3 - More about Regular Polygons - Exercises - Page 333: 27a



Work Step by Step

All polygons have angles adding up to 360 degrees. Thus, we see if there are an integer number of angles of 40 degrees that add up to 360 degrees: $40x = 360 \\ x = 9$ Since x is an integer, it follows that there is a 9 sided polygon that this is true for.
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