The larger of two supplementary angles is 6 less then 5 times smaller

The smaller angle = 31°

The larger angle = 149°

Step-by-step explanation:

The sum of two supplementary angles = 180 degrees

Lets x = the smaller angle

larger angle = 5x - 6

So now you have the equation:

x + 5x - 6 = 180

6x - 6 = 180

6x = 186

x = 31

The smaller angle = 31 degrees

The larger angle = 5 (31) - 6 = 149 degrees