\[\boxed{\mathbf{214}\mathbf{.}}\]
\[EC - биссектриса:\]
\[\angle DEC = \angle CEK = 23{^\circ}.\]
\[\angle KEF = 90 - 23 \cdot 2 =\]
\[= 90 - 46 = 44{^\circ}.\]
\[Ответ:44{^\circ}.\]