Question 311163
a. Twice an angle is 30o more than its complement.
2x=(90-2x)+30
2x=90-2x+30
2x+2x=90+30
4x=120
x=120/4
x=30 is the smaller angle.
2*30=(90-2*30)+30
60=90-60+30
60=120-60
60=60

b. Three times an angle is 12o less than its supplement.
3x=(180-3x)-12
3x=180-3x-12
3x+3x=180-12
6x=168
x=168/6=28 ans. for the smaller angle.
3*28=189-3*28-12
84=180-84-12
84=180-96
84=84