Question

The larger of two supplementary angles exceeds the smaller by18°.Find the angles.

Answer 1

hey..!
let one angle be x and another be x+18
so add them to get 180
means 2x+18=180
that means x is 81 and x+18is 99
so the angles are 81 and 99 which differs by 18degrees.

Answer 2

let the larger angle be x
and smaller angle be y
now x = y + 18
also x+y = 180 - (1)

now put the vlaue of x in eq 1

y + 18+y = 180
2y =180 - 18 = 162
y = 162÷ 2 = 81
now y = 81
so x = y+ 18 = 81+18 =99