SOLUTION: One angle is nine times its complement increased by 50 degrees . Find the measures of the two complementary angles

Algebra ->  Angles -> SOLUTION: One angle is nine times its complement increased by 50 degrees . Find the measures of the two complementary angles      Log On


   

Question 646747: One angle is nine times its complement increased by 50 degrees . Find the measures of the two complementary angles
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are complementary if they add up to 90 degrees.
let's angles be alpha and beta
so,
given:alpha%2Bbeta=90.........1
One angle (let it be alpha) is nine+times its complement beta increased by 50 degrees ; so, we have:
alpha=9%2Abeta%2B50........2
go to alpha%2Bbeta=90.........1...replace alpha from 1 and solve for beta
9%2Abeta%2B50%2Bbeta=90
9%2Abeta%2Bbeta=90-50
10%2Abeta=40
highlight%28beta=4%29
now find alpha
alpha=9%2Abeta%2B50........2
alpha=9%2A4%2B50
alpha=36%2B50
highlight%28alpha=86%29