Final Answer:
The angle that has the same measure as Za is angle Zb. Thus the correct option is a) Zb.
Step-by-step explanation:
When two lines are parallel and intersected by a transversal, alternate interior angles are congruent. In this case, Za and Zb are alternate interior angles as they lie between the parallel lines L1 and L2, and on opposite sides of the transversal. Therefore, their measures are equal.
Conversely, angles Zc, Zd, and Ze are either corresponding angles or alternate exterior angles. Corresponding angles are not congruent when lines are parallel, and alternate exterior angles also do not share the same measure. Thus, they don't have the same measure as Za.
Understanding angle relationships within parallel lines and transversals helps identify which angles are congruent or equal in measure. In this scenario, recognizing the relationship of Za and Zb as alternate interior angles leads to the conclusion that Zb shares the same measure as Za. Hence, Zb is the angle with an equal measure to Za in this context.
Thus the correct option is a) Zb.