Chapter 7: Q24. (page 244)

Find the measure of each angle.
The ratio of the measures of two complementary angles is $4 : 5$ .

Short Answer

Expert verified

The measure of each angle is $40^{\circ}$ and $50^{\circ}$ .

Step by step solution

Step 1. Given information.

The ratio between angles of two complementary angles is,

$4 : 5$

Step 2. Concept used.

The sum of complementary angles is $90^{\circ}$ .

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

It might not represent the actual measure.

Step 3. Consider the angles as4x and 5x.

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

$\begin{matrix} 4 x + 5 x = 90 \\ 9 x = 90 \\ x = 10 \end{matrix}$

So each of the angles are given by,

$\begin{matrix} 4 x = 4 \times 10 \\ 4x = 40 \end{matrix}$

And,

$\begin{matrix} 5 x = 5 \times 10 \\ 5x = 50 \end{matrix}$

Therefore, the measure of each angle is $40^{\circ}$ and $50^{\circ}$ .

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Find the measure of each angle.
The ratio of the measures of two complementary angles is $4 : 5$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Consider the angles as4x and 5x.

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Find the measure of each angle.The ratio of the measures of two complementary angles is4:5.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Consider the angles as4x and 5x.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Decision Maths

Discrete Mathematics

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the measure of each angle.
The ratio of the measures of two complementary angles is $4 : 5$ .