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 2 - Review Exercises - Page 131: 15


$x= 140^{\circ}$

Work Step by Step

Let the smaller angles be denoted by A and B since Sum of Angles of a Triangle = 180 Then in bigger triangle 2$\angle$A + 2 $\angle$B +100 =180 2($\angle$A +$\angle$B )=$80 THUS \angle$A +$\angle$B = 40 In Smaller triangle $\angle$A + $\angle$B +$\angle$X = 180 40 +$\angle$X = 180 $\angle$X = $140^{\circ}$
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