Question

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

Answer 1

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:
`90/5=18`

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

`18*1=18`

`18*4=72`

The smaller angle is 18 degrees.

Answer 2

`18^@`

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"`