Answer
5 (pentagon)
Work Step by Step
Using the equation for exterior angles, we find:
$$ \frac{360}{n}=\frac{360}{n+1}+12 \\ n=5,\:n=-6$$
Eliminating the negative value, we find that there are 5 sides, which is a pentagon.
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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: 41
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