   Chapter 1.CR, Problem 29CR ### 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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# Two angles are supplementary. One angle is 40 ° more than four times the other. Find the measures of the two angles.

To determine

To find:

The measures of the two angles.

Explanation

Given:

The two angles are supplementary and the one angle is 40° more than four times the other angle.

Definition:

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 angle.

Approach:

Let the measures of angles are mx and my.

The equations can be written as,

mx+my=180°(1)

mx=4my+40°(2)

Substitute 4my+40° for mx in the equation (1).

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