SOLUTION: angle x is 9 degrees more than twice the measure of angle y. if angle x and angle y are supplementary angles

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Question 462370: angle x is 9 degrees more than twice the measure of angle y. if angle x and angle y are supplementary angles
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

angle xis 9 degrees more than twice the measure of angle y:
x=2y%2B9..........1
if angle x and angle y are supplementary angles they add up to 180°:
x%2By=180.......2
now solve the system:
x=2y%2B9..........1...substitute x in 2
x%2By=180.......2
-------------------------
2y%2B9%2By=180......solve for y
3y=180-9
3y=171
y=171%2F3
highlight%28y=57%29
find angle x
x=2y%2B9..........1

x=2%2A57%2B9
x=114%2B9
highlight%28x=123%29