Prealgebra (7th Edition)

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

Chapter 9 - Review: 13


$\angle x=100^{\circ}$ $\angle y=80^{\circ}$ $\angle z=80^{\circ}$

Work Step by Step

In the picture, we can see that $\angle y$ and the other angle ($100^{\circ}$) form a straight angle, they are supplementary angles, so they add up to $180^{\circ}$. $\angle y+100^{\circ}= 180^{\circ}$ $\angle y= 180^{\circ}-100^{\circ}$ $\angle y= 80^{\circ}$ The same is true with $\angle z$: $\angle z= 80^{\circ}$ If we consider $\angle x$ and $\angle y$, they are also supplementary angles, so they add up to $180^{\circ}$ $\angle x+\angle y=180^{\circ}$ $\angle x+80^{\circ}=180^{\circ}$ $\angle x= 180^{\circ}-80^{\circ}$ $\angle x=100^{\circ}$
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