\[\boxed{\mathbf{1.}\mathbf{122}}\]
\[\angle NML = \angle MLK = \angle LKN =\]
\[= \angle KNM = 90{^\circ}.\]
\[\angle LKM = \angle NMK = 60{^\circ}.\]
\[\angle MNK = \angle MLK = 90{^\circ}.\]
\[\angle MKN = \angle KML =\]
\[= 180 - (90 + 60) = 30{^\circ}.\]