Question

Two angles are supplementary. The measure of one angle is 4 times the measure of the other angle. What is the measure of the smaller angle

Answer 1

ANSWER

The smaller angle is


`y = 36 \degree`



.EXPLANATION

Let the angles be

`x \: and \: \: y`

where y is the smaller angle.
Since they are supplementary, they will add up to 180°.


This implies that,


`x + y = 180 \degree...(1)`


If one angle is 4 times the other, we can then write the following equation,


`x = 4y...(2)`


We put equation (2) into equation (1) to get,




`4y + y = 180 \degree`



`5y = 180 \degree`


We divide through by 5 to obtain,


`y = 36 \degree`


This implies that,


`x = 4(36)`



`x = 144 \degree`