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 - 3-2 Properties of Parallel Lines - Practice and Problem-Solving Exercises: 17

Answer

The angle on the left measures 100, and the angle on the right measures 80.

Work Step by Step

The labeled angles form a same-side interior angle pair. The same-side interior angle postulate tells us they are supplementary. $5x+4x=180\longrightarrow$ definition of supplemntary $9x=180\longrightarrow$ combine like terms $x=20\longrightarrow$ division property of equality Substitute to find the angle measures. $5x=5(20)=100$ $4x=4(20)=80$
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