Question

The larger of two supplementary angles exceeds the smaller by 18 degree find them by substitution method

Answer 1

Answer:

Angles are 99 and 18

Step-by-step explanation:

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

Answer 2

Step-by-step explanation:

HLW MATE HERE IS YOUR CORRECT ANSWER.......

Let the larger angle be 'x' and the smaller one be 'y'

ATQ,

x =y +18 ---------------------(1)

We know that, sum of supplementary angles =180°

x+y=180°---------------------(2)

SUBSTITUTE x=y+18 in eq (2)

y+18+y=180°

2y=180-18

2y=162

y=162/2

✓y=81

x=81+18

=99

THEREFORE,

THE ANGLES ARE 81 AND 99