36 and 144
Explanation
Two Angles are Supplementary when they add up to 180 degrees
Step 1
Let
x= angle 1
y= angle2
The measure of one angle is four times the measure of the other angle,then
x and y are supplementary angles , then
Step 2
use Equation (1) and (2) to find x and y
replace Equation (1) in Equation (2)
replace the value of y= 36 in equation (1) to find x
Hence, the answer is 36 and 144