Final answer:
Based on standard geometric theorems and without additional context, Alternate Interior Angles could be the 2nd reason in the proof to ensure ZOEZT, assuming Z and T are on parallel lines cut by a transversal.
Step-by-step explanation:
The student is asking about a step in a geometric proof that would ensure a certain statement (ZOEZT) is true. Given the context provided about angles and their relationships, the 2nd reason in the proof could involve a property that relates to how angles are oriented with respect to each other.
If we consider the fact from the information given that angles in interference patterns cannot be more than 90° and the properties of angles formed by intersecting lines or rays, Alternate Interior Angles could be the answer if Z and T lie on parallel lines cut by a transversal. However, more information from the original proof is needed to determine which of the given choices is correct:
A. Corresponding Angles,
B. Alternate Interior Angles,
C. Alternate Exterior Angles,
D. Reflexive Property, or
E. Vertical Angles.
Given that no specific diagram or additional context about ZOEZT is provided, the best guess based on standard geometric theorems and the limited information at hand would be Alternate Interior Angles, assuming Z and T are on parallel lines, as this is a commonly used property in proofs involving parallel lines. Nonetheless, confirmation with the actual diagram or further details of the proof is required for an accurate answer.
The statement about vectors forming a right triangle, where L and Lz represent sides and you apply trigonometric ratios to find the angle between vectors, is unrelated to the student's original question.