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 3 - Section 3.5 - Inequalities in a Triangle - Exercises - Page 173: 25

Answer

In order to do this problem, we simply have to add up the two angles that compose each larger angle. Since angle ABC and CBD are larger than angle DBE and EDF, respectively, this means that ABC plus CBD is greater than DBE plus EDF. Thus, ABD is greater than DBF.
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