Correct option is (C) 73°
Let x & y are two linear angles.
\(\therefore\) x+y = \(180^\circ\) ________(1)
Given that difference of these two linear angles is \(34^\circ.\)
\(\therefore\) x - y = \(34^\circ\) ________(2)
By adding (1) & (2), we get
2x = \(180^\circ\) + \(34^\circ\) = \(214^\circ\)
\(\Rightarrow\) x = \(\frac{214^\circ}2\) = \(107^\circ\)
Put x = \(107^\circ\) in (1), we get
y = \(180^\circ\) - x = \(180^\circ\) - \(107^\circ\) = \(73^\circ.\)