Question 1196354
Let x = the measure of the smaller angle
x + 115.8 = the measure of the larger angle

Supplementary angles add up to 180.
So we have,
x + x + 115.8 = 180
2x = 180 - 115.8
x = 64.2/2
x = 32.1 (smaller angle)
For the larger angle, we have
x + 115.8 = 32.1 + 115.8 = 147.9

Answer:
Smaller angle measures 32.1 degrees.
Larger angle measures 147.9 degrees.

Solved.