# The measures of two complementary angles are in the ratio 4:1. What is the measure of the smaller angle?

##### 2 Answers

Aug 5, 2018

The measure of the smaller angle is 18 degrees

#### Explanation:

Complementary = 90 degrees

Let's say there are 5 parts of the complementary angles, to solve for one part:

Then we can multiply 18 by 1 and 4 to find the two complementary angles.

The smaller angle is 18 degrees.

Aug 6, 2018

#### Explanation:

#"Complementary angles sum to "90^@#

#"sum the parts of the ratio "4+1=5#

#90^@/5=18^@larrcolor(blue)"1 part"#

#4xx18^@=72^@larrcolor(blue)"4 parts"#

#"the 2 complementary angles are"#

#18^@" and "72^@#

#18^@" is the smaller angle"#