In a rhombus, the diagonals bisect each other at right angles and also bisect the vertex angles. Given the rhombus LMNO and the information that ∠MNL = 55 degrees, we can derive the measures of the other angles.
Since the diagonals bisect the angles, we know that:
\[ m\angle MNL = m\angle NMO = 55^\circ \]
This means:
\[ m\angle MNO = 180^\circ - (m\angle MNL + m\angle NMO) \]
Substituting the known values:
\[ m\angle MNO = 180^\circ - (55^\circ + 55^\circ) \] \[ m\angle MNO = 180^\circ - 110^\circ \] \[ m\angle MNO = 70^\circ \]
Thus,
\[ m\angle MNO = 70^\circ \]