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: 14

Answer

x=50

Work Step by Step

The Converse of the Alternate Interior Angles Theorem tells us the lines are parallel when the alternate interior angles are congruent. $95=2x-5\longrightarrow$ definition of congruent $100=2x\longrightarrow$ addition property of equality $50=x\longrightarrow$ division property of equality
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