Question

if two suplimentary angles are in the ratio 1:2, then thebigger angle is

Answer 1

let one angle= x

2nd angle= 2x

x+ 2x=180

3x= 180

x=180/3

x=60

so one angle= x= 60°

second Angle=2x=2*60=120°

bigger angle is 120°

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Answer 2

Answer:

Step-by-step explanation:

To find the bigger angle

  Let the common multiple be x

Therefore smaller angle = 1 x

                 bigger angle = 2 x

We know that

         the sum of two angles of a supplementary angle is 180 degree.

∴ 1 x + 2 x = 180

  3 x = 180

     x = 180÷3

     x = 60

Now,

  the bigger angle = 2 x = 2×60 = 120