SOLUTION: I am having trouble setting up this equation. Two angles are supplementary. One angles ensures 24 degrees less than the other angle. Find the measures of the angle. So far I hav

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: I am having trouble setting up this equation. Two angles are supplementary. One angles ensures 24 degrees less than the other angle. Find the measures of the angle. So far I hav      Log On


   

Question 1118704: I am having trouble setting up this equation.
Two angles are supplementary. One angles ensures 24 degrees less than the other angle. Find the measures of the angle.
So far I have:
x + y=180 and x=y-24
But I do not know if this is correct.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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One angles cross%28ensures%29 MEASURES 24 degrees less than the other angle.
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x and y, angle measures

x%2By=180----------they are supplementary

x=y-24----------x is 24 degrees less than y.

Exactly the way the description is said.

You can simply substitute for x.
%28y-24%29%2By=180
2y=180%2B24
y=90%2B12
highlight_green%28y=102%29
-
highlight_green%28x=78%29