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: 15

Answer

x=59

Work Step by Step

The Converse of the Alternate Exterior Angles Theorem tells us the lines are parallel when the alternate exterior angles are congruent. $3x-33=2x+26\longrightarrow$ definition of congruent $3x=2x+59\longrightarrow$ addition property of equality $x=59\longrightarrow$ subtraction property of equality
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