SOLUTION: if the complement of an angle is equal to the supplement of thrice of it then find the measurement of angle

Algebra ->  Angles -> SOLUTION: if the complement of an angle is equal to the supplement of thrice of it then find the measurement of angle      Log On


   

Question 775607: if the complement of an angle is equal to the supplement of thrice of it then find the measurement of angle
Answer by arKed(27) About Me  (Show Source):
You can put this solution on YOUR website!
n1 + n2 = 90
(3)n1 +n2 = 180
3n1 + n2 + n1 +n2 = 270
(4n1 + 2n2 = 270)/2
2n1 +n2 = 135
n2 = 135 - 2n1
135 - 2n1 + n1 = 90
n1 = 45......ANS.
n2 = 135 - 2n1
n2 = 135 - 2(45)
n2 = 45
checking:
n1 + n2 = 90
45 + 45 = 90
3(n1) + n2 = 180
3(45) + 45 = 180