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Q18.

Expert-verifiedFound in: Page 695

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

**Find the value of $x$** **that makes lines $m$ and $v$ parallel.**

The value of $x$ is $x=\frac{62}{3}$.

The provided figure is

Two angles are provided having measures $58\xb0$ and $\left(3x-4\right)\xb0$.

When two lines are crossed by another line, it is known as transversal.

**Corresponding angles are angles that are at the same relative position at each intersection. The measure of two corresponding angles is equal.**

From the given diagram, angle $58\xb0$ and $\left(3x-4\right)\xb0$ are corresponding angles. So, both the angles must be equal, that is, $\left(3x-4\right){}^{\circ}=58\xb0$.

The value of $x$ is,

$\begin{array}{c}\left(3x-4\right)\xb0=58\xb0\\ 3x=58+4\\ 3x=62\\ x=\frac{62}{3}\end{array}$

The value $x$ of is $x=\frac{62}{3}$.

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