SOLUTION: TWO ANGLES ARE SUPPLEMENTARY AND THE LARGER ONE IS 9 DEGREE MORE THAN 2 TIMES THE SMALLER ONE. FIND THE ANGLES

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Question 1178565: TWO ANGLES ARE SUPPLEMENTARY AND THE LARGER ONE IS 9 DEGREE MORE THAN 2 TIMES THE SMALLER ONE. FIND THE ANGLES






Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Two Angles are Supplementary when they add up to 180 degrees.
let one angle be alpha and other beta
then we have:
alpha+%2B+beta=180
if given that alpha=2beta%2B9, we have
2beta%2B9%2B+beta=180
3beta=180-9
3beta=171
beta=171%2F3
beta=57

then
alpha=2%2A57%2B9
alpha=123