Question 970437
Supplementary angles add to 180 degrees.
Let the smaller angle=x
The larger angle is 4x+30
They add to 180 degrees.
Substitute.

x + (4x+30)=180

5x +30=180

subtract 30 from both sides.
5x=150.
Divide by 5 on both sides

x=30
4x+30=4(30) +30=150

The two angles are 30, and 150.
The given angle is 150. (answer the question!!!)  Its supplementary angle is 30, and 150 is 30 more than 4 times 30.