SOLUTION: two angles are supplementary which equal 180 one angle has a measure that is five less than four times the other angle

Question 94323: two angles are supplementary which equal 180 one angle has a measure that is five less than four times the other angle
Found 2 solutions by checkley71, tutorcecilia:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
x+4x-5=180
5x=180+5
5x=185
x=185/5
x=37 answer for the smaller angle.
4*37-5=148-5=143
proof
143+37=180
180=180

Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
Angle #1=X
Angle #2=4(x-5)
x+4(x-5)=180
x+4x-20=180
5x-20=180
5x-20+20=180+20
5x=200
5x/5=200/5
x=40
y=4(X-5)=4(40-5)=4(35)=140
.
checking:
Angle #1=40
Angle #2=4(x-5)=4(40-5)=4(35)=140
Angle #1 + Angle#2 = 40+140=180

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