Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 7 - Section 7.3 - More about Regular Polygons - Exercises - Page 344: 25a

Answer

Yes

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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