Bariz - Problem

\[ \begin{gathered} \hat C + \hat B = 180^O \mathop {}\limits_{}^{} \Rightarrow \mathop {}\limits_{}^{} \theta + \omega = 90^{^{\rm O} } \mathop {}\limits_{}^{} \Rightarrow \mathop {}\limits_{}^{} M\hat LK = 90^o \mathop {}\limits_{}^{} \Rightarrow \mathop {}\limits_{}^{} \hfill \\ MK \bot AB,CD\mathop {}\limits_{}^{} \Rightarrow \mathop {}\limits_{}^{} OC = OE\mathop {}\limits_{}^{} \Rightarrow \mathop {}\limits_{}^{} CM = KE = KH\mathop {}\limits_{}^{} \Rightarrow \mathop {}\limits_{}^{} \hfill \\ KL \bot ML\mathop {\mathop {}\limits_{}^{} ,\mathop {}\limits_{}^{} OC}\limits_{}^{} \bot ML\mathop {}\limits_{}^{} \Rightarrow \mathop {}\limits_{}^{} KN//CE. \hfill \\ KN//CE\mathop {}\limits_{}^{} ,\mathop {}\limits_{}^{} KH = KE\mathop {}\limits_{}^{} \Rightarrow \mathop {}\limits_{}^{} NH = NC \hfill \\ \end{gathered} \]