Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Entry-Level Assessment - Page xxxvi: 5

Answer

$D$

Work Step by Step

Since $m$ and $n$ are parallel, we have that the angle with measure $132^{\circ}$ is congruent to the angle with measure $(x – 12)^{\circ}$ because they are alternate exterior angles. Therefore: $x – 12 = 132$ To solve for $x$, we just add $12$ on both sides: \begin{align*} x-12+12 &= 132+12\\ x&=144\end{align*}
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