Let the larger angle = x
Smaller angle = y
As both angles are supplementary,
x + y = 180
⇒ x = 180 - y .... (i)
Difference is 18 degrees.
So, x - y = 18
⇒ x = 18 + y .... (i)
Substituting the value of x in equation (i) we get,
⇒ 18 + y = 180 - y
⇒ - y - y = 18 - 180
⇒ - 2y = -162
⇒ y=−162−2
⇒ y = 81
Substituting the value of y in equation (i), we get,
⇒ x = 180 - 81 = 99
Hence, the angles are 99∘ and 81∘.