Question

Find the angles which is 2/3 of its supplement.
please answer it using addition ​

Answer 1

let the angle be a

then it's supplement will be 180-a

now ,

a = (180-a)2/3

3a = 360 - 2a

5a = 360

a =360/5 = 72

verification,

(180 - 72)×2/3

108×2/3

216/3

=72 = a