Final answer:
The ability to prove the congruency or inequality of angles 1, 2, 3, and 4 depends on their relationship, which is not given. Therefore, without additional context or a diagram, we cannot definitively identify the statement that cannot be proven.
Step-by-step explanation:
The question is asking which statement regarding the congruency of angles cannot be proven given that ∠3≅∠4. To provide the correct answer, we would need additional information or a diagram to understand the relationship between the angles.
Without additional context, we can say that:
- If ∠3≅∠4, then ∠1≅∠2 might be proven true if they are corresponding angles, but it's not possible to confirm without a visual or further context.
- ∠1 ≠ ∠4 could be proven if we know that angle 1 and angle 4 are not corresponding or vertical angles, again additional information is needed.
- ∠2≅∠4 can be proven true automatically since angle 3 is given as congruent to angle 4.
- ∠3≅∠1 cannot be confirmed without more context or a diagram.