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 - Lesson Check - Page 160: 3



Work Step by Step

Theorem 3.6, the Converse of the Same-Side Interior Angles Postulate, tells us the two lines are parallel if the same-side interior angles formed by the transversal are supplementary. $y+65=180\longrightarrow$ definition of supplementary $y=115\longrightarrow$ subtraction property of equality
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