The measure of the supplement of the angle is 14 more than twice the complement of the angle. Find one third of the measure of the complement

Question

 supplementary and complementary angles 

Answer 1

n=the angle

(180-n)=14+2(90-n)

180-n=14+180-2n

subtract 180 from both sides

-n=14-2n

2n-n=14

n=14º

90-14=76º is the complement

(1/3)*(76)=25 1/3 º or...

1º=60 minutes, so 1/3 of 60 is 20 minutes

25º 20'