   Chapter 1.4, 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
16 views

# Two angles are supplementary. One angle is 24 ° more than twice the other. Using two variable x and y , find the measure of each angle.

To determine

To find:

The measure of given angles.

Explanation

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.

Given:

The given angles are x and y.

The two angles are supplementary and one angle is 24° more than twice the other.

Calculation:

The given angles are x and y.

One angle is 24° more than twice the other.

Let y be 24° more than twice the x.

y=2x+24°... (1)

It is given that x and y are supplementary.

The sum of x and y is 180°.

x+y=180°(2)

Substitute 2x+24° for y in equation (2) and solve for x

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