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

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

Let        first angle     = x

And second number = y

As both angles are supplementary so that sum will 180

x + y    = 180

x          = 180 - y                     ... (1)

Difference is 18 degree so that

x – y    = 18

Plug the value of x we get

180– y – y    = 18

-       2 y     = -162

y         = -162/-2

y          = 81

Plug the value back in equation first we get

x          = 180 – 81     =  99

Hence angles are 81 and 99