A is sister of B. E is brother of B. E is son of H. H is married to F....
To determine the relationship between I and A, let's analyze the given information step by step:
1. A is the sister of B.
2. E is the brother of B.
3. E is the son of H.
4. H is married to F.
5. F is the daughter of G.
6. F has only one daughter.
7. G is married to C.
8. E is the brother of D.
9. D is married to I.
Based on this information, we can deduce the following relationships:
1. A and B are siblings.
2. E and B are siblings.
3. E is the son of H.
4. H is married to F.
5. F is the daughter of G.
6. G is married to C.
From point 9, D is married to I. Since D is the brother of E and E is the son of H, it means D is the son of H as well. Therefore, I is the son-in-law of H.
Now, let's consider the relationship between A and I:
Since A is the sister of B, and B is the sibling of E, who is the brother of D, it means A is the sister-in-law of I.
Therefore, the correct answer is option D: Sister-in-law.