Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-2 Properties of Parallel Lines - Lesson Check: 4

Answer

x=55

Work Step by Step

The same-side interior angles postulate tells us that $\angle4$ and $\angle7$ are supplementary. $m\angle4+m\angle7=180\longrightarrow$ definition of supplementary $70+2x=180\longrightarrow$ substitution $2x=110\longrightarrow$ subtraction property of equality $x=55\longrightarrow$ division property of equality
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