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 $132^{\circ}$ and $48^{\circ}$ .

Step by step solution

Step 1. Given information.

The ratio between angles of two supplementary angles is,

$11 : 4$

Step 2. Concept used.

The sum of angles supplementary angles is $180^{\circ}$

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

It might not represent the actual measure.

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,

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

And,

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

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

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Consider the angles as11x and4x .

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Find the measure of each angle.The ratio of the measures of two supplementary angles is11:4.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Consider the angles as11x and4x .

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Mechanics Maths

Calculus

Statistics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

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