SOLUTION: Two angles are complementary, one is two more than three times the other. find the angles

Algebra ->  Angles -> SOLUTION: Two angles are complementary, one is two more than three times the other. find the angles       Log On


   



Question 343426: Two angles are complementary, one is two more than three times the other. find the angles

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
BY DEFINITION THE SUM OF COMPLEMENTARY ANGLES IS 90 DEGREES!
C%5B1%5D%2BC%5B2%5D=90
PROBLEM STATES! C%5B2%5D IS 3%2AC%5B1%5D%2B+2
SUBSITUTE
C%5B1%5D%2B%283%2AC%5B1%5D%2B2%29+=90
COMBINE
4C%5B1%5D%2B2+=90
SOLVE:
SUBTRACT 2 FROM EACH SIDE OF EQUATION
4C%5B1%5D+=88
DIVIDE EACH SIDE OF THE EQUATION BY 4
C%5B1%5D=22
FIND C[2] = (3*22+2)!!!
C%5B2%5D=68
CHECK YOUR ANSWER! 22 + 68 = 90