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 1 - Section 1.2 - Angles and Their Relationships - Exercises - Page 47: 12

Answer

m$\angle$FAE is not clearly noted as being obtuse.

Work Step by Step

m$\angle$FAB + m$\angle$BAE = the larger m$\angle$ FAE The claim provided (m$\angle$FAB + m$\angle$BAE = m$\angle$ FAE) implies m$\angle$ FAE is less than 180. Therefore, since m$\angle$ FAE is not specified to be greater than 180, the claim is wrong.
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