Chapter 1: Q13. (page 53)

In the figure at the right, state the value of $x$ .

Short Answer

Expert verified

The value of x is $55 °$ .

Step by step solution

- State the definition of a variable.

A variable is a term that is used to represent an unknown value.

- Evaluate the value of x.

Consider the diagram:

In the the diagram two angles are formed on a straight line.

And it is known that sum of angles on a straight line is $180 °$ .

Then, from the diagram,

$2 x + 70 ° = 180 °$ .

Simplify the equation by subtraction and division,

\begin{matrix} 2 x + 70^{\circ} - 70^{\circ} = 180^{\circ} - 70^{\circ} \\ 2 x = 110^{\circ} \\ \frac{2 x}{2} = \frac{110^{\circ}}{2} \\ x = 55^{\circ} \end{matrix}

- State the conclusion.

Therefore, the value of x is $55 °$

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In the figure at the right, state the value of $x$ .

Short Answer

Step by step solution

- State the definition of a variable.

- Evaluate the value of x.

- State the conclusion.

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In the figure at the right, state the value of x.

Short Answer

Step by step solution

- State the definition of a variable.

- Evaluate the value of x.

- State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Probability and Statistics

Discrete Mathematics

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

In the figure at the right, state the value of $x$ .