If \( KM \) and \( NP \) are parallel lines, and \( m\angle MLO = 133^\circ \), we can use the properties of alternate interior angles and corresponding angles.
Let's assume that \( L \) is a transversal line that intersects the parallel lines \( KM \) and \( NP \).
Since \( m\angle MLO = 133^\circ \), then \( m\angle MLJ \), which is the alternate interior angle to \( m\angle MLO \), will be equal to \( 133^\circ \) as well.
Therefore, the measure of angle \( MLJ \) is:
\[ m\angle MLJ = 133^\circ \]