Book edition Common Core Edition

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

Pages 183 pages

ISBN 9780547587776

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Short Answer

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

The value of $x$ is $x = 5$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The provided figure is,

Two angles are provided having measures $30 °$ and $6 x °$ .

Step 2. Definition of corresponding angles.

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.

Step 3. Calculation.

From the given diagram, angle $30 °$ and $6 x °$ are corresponding angles. So, both the angles must be equal, that is, $6 x {}^{\circ}= 30 °$ .

The value of $x$ is,

$\begin{matrix} 6 x ° = 30 ° \\ \frac{6 x}{6} = \frac{30}{6} \\ x = 5 \end{matrix}$

Step 4. Conclusion.

The value of $x$ is $x = 5$ .

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Pre-algebra

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Short Answer

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

Step by Step Solution

Step 1. Given Information.

Step 2. Definition of corresponding angles.

Step 3. Calculation.

Step 4. Conclusion.

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Pre-algebra

Answers without the blur.

Short Answer

Find the value of x that makes lines m and n parallel.

Step by Step Solution

Step 1. Given Information.

Step 2. Definition of corresponding angles.

Step 3. Calculation.

Step 4. Conclusion.

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