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: 2

Answer

$x = 30$

Work Step by Step

The angles depicted are considered same-side interior angles. If two parallel lines are cut by a transversal, then same-side interior angles are supplementary. $(3x - 14) + (2x - 16) = 180$ Get rid of the parentheses, paying attention to signs and operations: $3x - 14 + 2x - 16 = 180$ Group like terms: $(3x + 2x) + (- 14 - 16) = 180$ Combine like terms: $5x - 30 = 180$ Add $30$ to each side of the equation: $5x = 150$ Divide each side by $5$ to solve for $x$: $x = 30$
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