System of equations

Question

The larger of the two supplementary angles is 6 less than 5 times the smaller. Find the measure of two angles

Answer 1

The larger of the two supplementary angles is 6 less than 5 times the smaller. Find the measure of two angles

 

 

Say, we got angles A and B.

 

First, A+B=180

 

Then, A=5B-6 :  put this in 1st equation -

 

5B-6+B=180

6B=186

B=31,

 

And. A5*31-6=149