SOLUTION: find the measures of two complementary angles such that the larger angle is six less than five times the smaller angle.

Algebra ->  Angles -> SOLUTION: find the measures of two complementary angles such that the larger angle is six less than five times the smaller angle.      Log On


   



Question 326733: find the measures of two complementary angles such that the larger angle is six less than five times the smaller angle.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let one angle be x
the other angle is 5x-6
..
The sum of these angles = 90 deg
..
x+5x-6=90
6x-6=90
add 6
6x-6 + 6 = 90+6
6x=96
divide by 6
6x/6=96/6
x=16 one angle
the other angle is 5x-6
=5*16-6
=80-6
=74