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 - 3-4 Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises - Page 169: 31


$x = 53$

Work Step by Step

If $a | | b$, then alternate interior angles are equal. Let us set the two alternate interior angles equal to one another: $2x + 18 = 124$ Subtract $18$ from each side of the equation to isolate the $x$ term to one side of the equation and the constants on the other: $2x = 124 - 18$ $2x = 106$ Divide each side by $2$ to solve for $x$: $x = 53$
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