Question 904772
Supplementary angles add up to 180 degrees.

Let's call the smaller angle , x.
The bigger angle is 44 degrees more than the measure of the smaller angle. So, that would make it x+ 44

Since both angles add up to 180 degrees, we have the equation

x + ( x+ 44) = 180
2x     + 44  = 180
2x           = 180 -44
2x           = 136
x            = 68 

So, the smaller angle is 68 degrees and the bigger angle is 68 + 44 = 112 degrees.

To check,

68 + 112 = 180