Question

the larger of two supplementary angles exceeds the smaller by 18° find the angles​

Answer 1

Answer:

we know that the sum of supplimentry angles is 180

let the small angle is =. X

then ATQ

larger angle =. X+18

so,. X+X+18=180

2x=180-18

2x=162

X=162/2

X=81

then the lager angle is =18+81=99

so the angles are 81. and 99

Answer 2

Answer:

x+y=180 _________1

x=y+18

x-y=18___________2

x+y=180

x=180-y

putting x in equation 2

180-y-y=18

180-2y=18

-2y=18-480

y=-162/-2

y=81

putting y=81 in equation 2

x-81 =18

x=18+81

x=99