Chapter 12: Q18. (page 695)

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Given Information.

The provided figure is

Two angles are provided having measures $58 °$ and $(3 x - 4) °$ .

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 $58 °$ and $(3 x - 4) °$ are corresponding angles. So, both the angles must be equal, that is, $(3 x - 4) {}^{\circ}= 58 °$ .

The value of $x$ is,

$\begin{matrix} (3 x - 4) ° = 58 ° \\ 3 x = 58 + 4 \\ 3 x = 62 \\ x = \frac{62}{3} \end{matrix}$

Step 4. Conclusion.

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

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

Short Answer

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 v parallel.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Definition of corresponding angles.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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