Chapter 5.1, Problem 36E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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 1:4, find the measure of the angle.

To determine

To find:

The measure of the angle.

Explanation

1) TwoÂ anglesÂ areÂ complementaryÂ when they add up to 90â—¦.

2) TwoÂ angles are supplementaryÂ when they add up to 180â—¦.

Calculation:

Let the first of the complementary angles have measure xâ—¦; then the second angle has the measure (90âˆ’x)âˆ˜.

Let the first of the supplementary angles have measure xâ—¦; then the second angle has the measure (180âˆ’x)âˆ˜.

According to the problem,

90âˆ’x180âˆ’x

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