Final answer:
Without a diagram or additional information, it is not possible to determine the measure of angle 2, even though we know lines M and N are parallel and angle 1 is 135°. The relationship between angle 1 and angle 2 needs to be clarified to solve the problem.
Step-by-step explanation:
To determine the measure of angle 2 when given that lines M and N are parallel and angle 1 is 135°, we need to understand the properties of parallel lines and the angles they form. Reasoning with the properties of alternate interior angles, corresponding angles, or co-interior angles will help us solve the problem.
However, without a diagram or additional context on the positions of angles 1 and 2 with respect to lines M and N, we cannot provide a specific numerical answer to this question. We need to know which angle is angle 2 in relation to angle 1 to apply the correct properties of parallel lines and angles.