Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - Mid-Chapter Quiz - Page 398: 1


$x = 122$ $w = 90$

Work Step by Step

We can find $x$ because $x$ and its adjacent angle are supplementary angles. We can set up an equation using this information: $x = 180 - 58$ Subtract to solve for $x$: $x = 122$ We can also find $w$ because $w$ and its adjacent angle are also supplementary angles. The adjacent angle is a right angle, so it measures $90^{\circ}$; therefore, $m \angle w = 90^{\circ}$. $w = 90$
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