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: 35

Answer

$\angle1\cong\angle5$ $l\parallel n$

Work Step by Step

Because angles 1 and 5 are in corresponding positions relative to the angles formed when line k intersects with lines l and n, the Converse of the Corresponding Angles Theorem tells us that $l\parallel n$.
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