Final answer:
Without a specific diagram or additional context for the geometry problem, it's not possible to determine the correct congruent angle statement from the options provided.
Step-by-step explanation:
The question presented appears to be a geometry problem that involves congruent triangles and angle relationships. Although the question mentions various segments and points (e.g., BDI, AC, ASZ, ZC), it lacks a specific figure or diagram, making it difficult to provide a definitive proof without making assumptions about the relative positions of these points and lines. It's crucial in geometry to have a clear understanding of the diagram to discuss congruency or any geometric conclusion accurately.
The provided text snippets seem to discuss geometric concepts such as congruent triangles, similar triangles, vectors, and arcs, which could be components of the student's problem but do not give us a complete picture to provide a conclusive answer. Given the information provided, we are not able to confidently confirm which statement regarding angle congruence is true.