SOLUTION: given <1=2x+y, <2=x+30, <3=3y+20. If <1 is supplementary to <2 and <2 is supplementary to <3, what is the measure of <3

Algebra ->  Angles -> SOLUTION: given <1=2x+y, <2=x+30, <3=3y+20. If <1 is supplementary to <2 and <2 is supplementary to <3, what is the measure of <3      Log On


   



Question 1049252: given <1=2x+y, <2=x+30, <3=3y+20. If <1 is supplementary to <2 and <2 is supplementary to <3, what is the measure of <3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'll use A, B, and C instead of 1, 2, and 3 to make it more readable.
A=2x%2By
B=x%2B30
C=3y%2B20
So then,
A%2BB=180
B%2BC=180
Substituting,
2x%2By%2Bx%2B30=180
1.3x%2By=150
and
x%2B30%2B3y%2B20=180
2.x%2B3y=130
Multiply eq. 2 by 3 and subtract from eq. 1,
3x%2By-3x-9y=150-3%28130%29
-8y=-240
y=30
and
3x%2B30=150
3x=120
x=40
So then,
C=3y%2B20=3%2830%29%2B20=90%2B20=110