Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 2 - Section 2.3 - Proving Lines Parallel - Exercises - Page 87: 15


Lines p and q must be parallel and lines l and n must be parallel.

Work Step by Step

Lines p and q are parallel because it is given. With this information we know that the same side interior angles 8 and 14 must be supplementary, therefore m$\angle$14 is 70$^{\circ}$. This proves that the corresponding angles 14 and 18 are congruent so lines l and n must be parallel.
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