Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 2 - Test - Page 133: 15

Answer

m$\angle$1=78$^{\circ}$

Work Step by Step

Given m$\angle$1=2m$\angle$2 Alternate interior angles m$\angle$1=m$\angle$4 Transitive property m$\angle$4=2m$\angle$2 Corresponding Angles m$\angle$2=m$\angle$5 m$\angle$4+m$\angle$5=m$\angle$ACE 2m$\angle$2+m$\angle$2=117 3m$\angle$2=117 m$\angle$2=39 m$\angle$1=2m$\angle$2 m$\angle$1=2(39) m$\angle$1=78^{\circ}$
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