Question

Two angles are supplements if their sum is 180 degrees. The measurement of
one angle is five more than six times its supplement. What is the measurement of
the smaller angle?

Answer 1

x represents (smaller) angle 1, y represents (larger) angle 2:

180 = x + y
y = 6x + 5

180 = x + y
180 = x + (6x + 5)
180 = 7x + 5
175 = 7x
25 = x

180 = 25 + y
155 = y

the smaller angle (x) is 25 degrees.