Answer: 176 degrees and 4 degrees.
Step-by-step explanation: To find the measure of the angles, all you have to do is create an equation. Let's call the supplementary angle x and the other angle 44x, because the other angle is 44*the supplementary angle. Now, we structure the equation 44x + x = 180. The reason we say the sum of the angles is 180 is because any angle plus its supplementary angle equals 180 degrees. From there it's just algebra:
44x + x = 180
45x = 180
x = 180/45
x = 4
We can check our work by substituting x for 4 in the equation:
44*4 + 4 = 180
174 + 4 = 180
180 = 180
Thus, the first angle is 176 degrees and the second is 4 degrees.