Final answer:
Without specific geometric context, we cannot definitively answer whether angle 4 can be 55 degrees if angle 8 is 125 degrees and lines m and n are not parallel.
Step-by-step explanation:
The question whether angle 4 can be 55 degrees if angle 8 is 125 degrees and lines m and n are not parallel is lacking context, such as the position and relationships of the angles within a geometric figure. Without additional information on how angles 4 and 8 are related, it is not possible to determine the truth value of the statement. In geometry, particularly when dealing with figures such as triangles, parallel lines, or transversals, angles may have specific relationships such as being supplementary or alternate interior angles which would allow for such a determination. For example, if angles 4 and 8 were to form a linear pair, they would be supplementary and add up to 180 degrees. However, since m and n are not parallel, we would not be dealing with corresponding or alternate interior angles that have specific angle relationships. Thus, without the geometric context or additional angle relationships being specified, it is not possible to provide a definitive answer. It is important to check if the given angles and their relationships make sense in the context of the problem.