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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 7: Q25. (page 244)

Find the measure of each angle.
The ratio of the measures of two supplementary angles is $11 : 4$ .

Short Answer

Expert verified

The measure of each angle is $132^{鈭�}$ and $48^{鈭�}$ .

Step by step solution

01

Step 1. Given information.

The ratio between angles of two supplementary angles is,

$11 : 4$

02

Step 2. Concept used.

The sum of angles supplementary angles is $180^{鈭�}$

Since, ratio of the angles is always in the simplified form,

It might not represent the actual measure.

03

Step 3. Consider the angles as11x and4x .

The sum of the angles of the two supplementary angles can be expressed using the above relation as,

$\begin{matrix} 11 x + 4 x = 180 \\ 15 x = 180 \\ x = 12 \end{matrix}$

So each of the angles are given by,

$\begin{matrix} 11 x = 11 脳 12 \\ 11 x = 132 \end{matrix}$

And,

$\begin{matrix} 4 x = 4 脳 12 \\ 4 x = 48 \end{matrix}$

Therefore, the measure of each angle is $132^{鈭�}$ and $48^{鈭�}$ .

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Most popular questions from this chapter

Find the value of x.

$\frac{x + 2}{x + 3} = \frac{4}{5}$

$(a)$ Apply the means-extremes property of proportions to the proportion.

$\frac{e}{f} = \frac{g}{5}$ and you get $5 e = ?$

$(b)$ Apply the property to the proportion $\frac{5}{f} = \frac{g}{e}$ and you get $? = ?$

$(c)$ Are the proportions $\frac{e}{f} = \frac{g}{5}$ and $\frac{5}{f} = \frac{g}{e}$ equivalent Why

Express the ratio in simplest form.

$D I : I T$

complete each statement.

If $\frac{4}{x} = \frac{2}{7},$ then $2 x = ?$

Explain an easy way to show that the proportions $\frac{x}{7} = \frac{2}{3}$ and $\frac{x}{2} = \frac{3}{7}$ are not equivalent.

See all solutions

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