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 - Page 153: 15


The two labeled angles measure: $x=115$ $x-50=65$

Work Step by Step

The angle marked $x$ forms an same-side interior angle pair with the angle marked $x-50$. The same-side interior angle theorem tells us these two angles are supplementary. $x+(x-50)=180\longrightarrow$ definition of supplementary $2x-50=180\longrightarrow$ combine like terms $2x=230\longrightarrow$ addition property of equality $x=115\longrightarrow$ division property of equality Substitute to find the measure of the other angle. $x-50=115-50=65$
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