Final answer:
The provided information about lines AB and CD being parallel and me being 74° is insufficient to determine the measure of mY without knowing the position or relationship of these angles.
Step-by-step explanation:
The question does not provide enough information to determine the measure of mY, as the relationships of mN and mY are not described. If lines AB and CD are parallel, information about corresponding angles, alternate interior angles, or any other angles related to mN might be necessary to deduce the measure of mY. In typical problems involving parallel lines and a transversal, angles can be supplementary or congruent based on their positions relative to each other. However, with the information provided, we cannot give a definite answer for mine.