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 162: 42


$\overline{PL}$must be parallel to $\overline{NA}$, and $\overline{PN}$ must be parallel to $\overline{LA}$.

Work Step by Step

If the same-side interior angles are supplementary, then the lines must be parallel by the Converse of the Same Side Interior Angles Theorem, which states: If two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel.
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