   Chapter 5.CT, Problem 3CT ### 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 1:5. Find the measure of each angle.Smaller: __________; Larger: ____________

To determine

To find:

The measure of complementary angles.

Explanation

Complementary angles;

Two angles are said to be complementary angles, if their sum equals to 90°

Calculation:

Given ratio of complementary angles are 1:5.

Let x and 5x be the measure of complementary angles.

Sum of the complementary angles equals to 90°

x+5x=90°

6x=90°

x=90°

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