Correct option is (B) 81°, 99°
Let x & y are two supplementary angles.
\(\therefore\) x+y \(=180^\circ\) ________(1)
Let x be the larger angle.
\(\therefore\) x = y + \(18^\circ\) (From the given condition)
\(\Rightarrow\) x - y = \(18^\circ\) ________(2)
By adding equations (1) & (2), we obtain
(x+y) + (x - y) \(=180^\circ+18^\circ\)
\(\Rightarrow\) 2x \(=198^\circ\)
\(\Rightarrow\) x \(=\frac{198^\circ}2=99^\circ\)
\(\therefore\) y \(=180^\circ-x\)
\(=180^\circ-99^\circ\) \(=81^\circ\)
Hence, the angles are \(81^\circ\;and\;99^\circ.\)
