Question

two supplementry angles differ by 12 degree find the angle

Answer 1

Let the two supplementary angles be x and y
X+y=180....1
X=y+12...2
Using substitution,
Y+12+y=180
2y=180-12=168
Y=168/2=84
X=84+12=96
So one angle is 84 and it's supplementary angle is 96 degrees

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Answer 2

You know that supplementary angles sum up to 180degree . So let us assume that that the smaller angle among the 2 was X and therefore the other will be X+12
Now , we get the equation as-

X+X+12=180°
2X =180°-12
2X=168°
X=84°
Hence the other angle will be 84+12=96°

So your two angles are 84° and 96°