Question 252072
First we need a definition: Supplementary angles are two angles that add to 180 degrees. The key part is "ratio". When they say this place an x next to each number and apply the appropriate definition, in this case supplementary angles. So, we have

4x + 5x = 180
9x = 180
x = 20.

This is your multiplier. So the smaller angle is 4x = 80.