   Chapter 5.1, Problem 27E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# The measures of two complementary angles are in the ratio 4:5. Find the measure of each angle, using the two methods shown in Example 7.

To determine

To find:

The measures of complementary angles.

Explanation

Two angles are complementary when they add up to 90°.

Calculation:

It is given that the ratio of the complementary angles is 4:5.

Let the angles be 4x and 5x.

Use the property of complementary angles,

4x+5x=90°9x=90°x=10°

Therefore, the measures of the complementary angles are 4(10°) and 5(10°) i.e., 40° and 50°.

Alternative Solution:

Let the first of the complementary angles have measure x; then the second angle has the measure 90x

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