Correct option is (B) 50°
Let complementary angles are x & y.
\(\therefore\) x+y = \(90^\circ\) _________(1) \((\because\) Sum of complementary angles is \(90^\circ)\)
Also, x - y = \(10^\circ\) _________(2) (Given)
Subtract equation (2) from (1), we get
(x+y) - (x - y) = \(90^\circ\) - \(10^\circ\)
\(\Rightarrow\) 2y = \(80^\circ\)
\(\Rightarrow\) y = \(\frac{80^\circ}2=40^\circ\)
From (1), x = \(90^\circ\) - y = \(90^\circ\) - \(40^\circ\) = \(50^\circ\)
Hence, \(40^\circ\) & \(50^\circ\) are required complementary angles.
\(\therefore\) Largest angle = \(50^\circ\).