an angle is 6 less than 5 times its supplement. What is the measure of each angel

Question

any is greatly appreciated!!

Answer 1

I like mind pictures. When I think of an angle and its supplement, I picture a straight line with a diagonal line coming out of it. I call one of the angles the diagonal makes X and the other 180 - X since the straight line is described as 180 degrees. Now I can make a math sentence using X for what the problem calls "an angle" and 180 - X for "its supplement."

X = 5(180 - X) - 6

distributing the 5

X = 900 - 5X - 6

combining like terms

6X = 894

solving for X

X = 149 = "an angle"

"its supplement" is 180 - X or what?

Answer 2

a + s = 180

a = 5s - 6

5s - 6 + s = 180

6s - 6 = 180

6s = 186

s = 32

What is the size of the angle?