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 - 3-3 Proving Lines Parallel - Practice and Problem-Solving Exercises - Page 161: 13

Answer

x=30

Work Step by Step

The Converse of the Corresponding Angles Theorem tells us the lines are parallel when the corresponding angles are congruent. $55=x+25\longrightarrow$ definition of congruent $30=x\longrightarrow$ subtraction property of equality
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