   Chapter 5.1, Problem 35E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

If the ratio of the measure of the complement of an angle to the measure of its supplement is 1:3, find the measure of the angle.

To determine

To find:

The measure of the angle.

Explanation

1) Two angles are complementary when they add up to 90.

2) Two angles are supplementary when they add up to 180.

Calculation:

Let the first of the complementary angles have measure x; then the second angle has the measure (90x).

Let the first of the supplementary angles have measure x; then the second angle has the measure (180x).

According to the problem,

90x180x

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