Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 9 - Section 9.1 - Lines and Angles - Exercise Set: 43

Answer

$\angle x\ and\ \angle z\ are\ 134^o$ $\angle y\ is\ 46^o$

Work Step by Step

When parallel lines are cut by a transversal, corresponding angles are equal. $\angle y$ is equal to the $46^o$ angle. $\angle x$ and the $46^o$ angle are supplementary. $\angle x=180^o-46^o=134^o$ $\angle x\ and\ \angle z$ are corresponding angles. $\angle z=\angle x=134^o$
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