\[\boxed{\mathbf{234}\mathbf{.}}\]
\[\angle MOD + \angle KOF = \angle DOF;\]
\[\angle MOK = \angle DOF + \angle DOF =\]
\[= 76{^\circ} + 76{^\circ} = 152{^\circ}.\]
\[Ответ:152{^\circ}.\]