   Chapter 1.4, Problem 26E ### 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
1 views

# Two angles are complementary. One angle is 12 ° larger than the other. Using two variable x and y , find the size of each angle by solving a system of equations.

To determine

To find:

The size of given angles.

Explanation

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.

Given:

The given angles are x and y.

The two angles are complementary and one angle is 12° larger than the other.

Calculation:

The given angles are x and y.

One angle is 12° larger than the other.

Let y be 12° larger than x.

y=x+12°... (1)

It is given that x and y are complementary.

The sum of x and y is 90°.

x+y=90°(2)

Substitute x+12° for y in equation (2) and solve for x

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