Question

The greater of two supplementary angles exceed the smaller by 18° .Find the angles.

Answer 1

 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