Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 6 - Polygons and Quadrilaterals - Get Ready! - Page 349: 1


$x = 30$

Work Step by Step

We can treat this diagram as being two parallel lines that are cut by a transversal. The angles depicted are considered corresponding angles. If two parallel lines are cut by a transversal, then corresponding angles are congruent. We can now set these two angles equal to one another and solve for $x$: $x + 9 = 2x - 21$ Subtract $x$ from each side: $9 = x - 21$ Add $21$ to each side of the equation: $x = 30$
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