SOLUTION: Two angles are complementary. One angle measures six degrees less that five times the other angle. Find the measures of the angles.

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Question 342984: Two angles are complementary. One angle measures six degrees less that five times the other angle. Find the measures of the angles.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are complementary. One angle measures six degrees less that five times the other angle. Find the measures of the angles.
BY DEFINITION THE SUM OF COMPLEMENTARY ANGLES IS 90 DEGREES!
C%5B1%5D%2BC%5B2%5D=90
PROBLEM STATES! C%5B2%5D IS 5%2AC%5B1%5D-6
SUBSITUTE
C%5B1%5D%2B%285%2AC%5B1%5D-6%29+=90
COMBINE
6C%5B1%5D-6+=90
SOLVE:
ADD 6 TO EACH SIDE OF EQUATION
6C%5B1%5D+=96
DIVIDE EACH SIDE OF THE EQUATION BY 6
C%5B1%5D=16
FIND C[2] = (5*16-6)!!!
C%5B2%5D=74