Question

If their are two supplementary angles and their differ 120 .
What are angles.

Answer 1

Let the larger angle be x
and smaller angle be y

• Angle are supplementary

x + y = 180 .... ( i )

° Their difference is 120

x - y = 120 ..... ( ii )


Adding ( i ) and ( ii )

x + y + x - y = 180 + 120

2x = 300

x = 150


Putting the value of x in eq ( i )

x + y = 180

150 + y = 180

y = 180 - 150

y = 30


So ,

The larger angle is 150
and smaller angle is 30

Answer 2

let angle 1 =x
So, angle 2=x+120
adding angle 1and 2,
x+ x+120=180
180-120=2x
60=2x
x=30°
angle 1=x=30°
angle 2=x+120=30+120=150°