Question

The larger of two supplementary angles exceeds the smaller by 18 degrees. Find the angles.

Answer 1

let the angle be x
other angle (it's supplement) =( 180-x)
x+18= (180-x)
2x = 162
x = 162/2 = 81
other angle(its supplement) = 180- x => 180-81 => 99
hope this helps

Answer 2

let the two angle be /x and /y
according to given condition-
/x+/y = 180 ----(1)
/x = /y + 18 -----(2)
substituting the value of (2) in (1)
(1) - /x+/y = 180
- (/y+18)+/y = 180
- 2/y+ 18 = 180
-2/y = 162
-/y= 81

substituting the value of y in (2)
/x=/y+18
/x=81+18
/x=99