Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises: 1b

Answer

m$\angle$7 = 72$^{\circ}$

Work Step by Step

m$\angle$1 = 108$^{\circ}$ By the Corresponding Angles Postulate: m$\angle$1 = m$\angle$5 By the Linear Pair Postulate: m$\angle$5 + m$\angle$7 = 180$^{\circ}$ Substitute the value of 108 into the equation. 108 + m$\angle$7 = 180 Subtract 108 from both sides 108 - 108 + m$\angle$7 = 180 - 108 Simplify. m$\angle$7 = 72$^{\circ}$
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