   Chapter 1.4, Problem 46E ### 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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# With 0 < x < 90 , an acute angle has a measure x . Find the difference between the measure of its supplement and the measure of its complement.

To determine

To find:

The difference between the measure of supplement and complement of the given angle.

Explanation

Given:

An acute angle with measure x is given.

Definition:

If the sum of two angles is 90° then the angles are known as complementary angles. Each angle in the pair is the complement of the other angle.

If the sum of two angles is 180° then the angles are known as supplementary angles. Each angle in the pair is the supplement of the other.

Calculation:

An acute angle with measure x is given.

Let y be the complement of given angle x.

The sum of angle x and y is 90°.

x+y=90°y=(90x)°

The complement of x is (90x)°.

Let z be the supplement of given angle x.

The sum of angle x and z is 180°.

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