Question

The measure of the angles supplement is 30 more than four times that of its complement. Find the measure of the angle described

Answer 1

1. A+S=180

2. A+C=90

and S=30+4C

Substituting into eq 1

A+(30+4C)=180

3. A+4C=150

Subtract eq 2 from eq 3

A+ 4C-A-C = 150 - 90

3C=60

C=20

So then

A+20=90

A = 70

70+S=180

S=110