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,

$x = 4(36)$


$x = 144 \degree$