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 7 - Section 7.3 - More about Regular Polygons - Exercises - Page 344: 42

Answer

Does not exist

Work Step by Step

Using the equation for exterior angles, we find: $$ \frac{360}{n}=\frac{360}{n+1}-4 $$ We see that no such shape exists since the solution to this equation is imaginary.
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