였는지

was (in an embedded question)

→ 이다
였 Past tense + 는지 Embedded question (“whether/if”)
auxiliary · past tense Rare #22,082
was (in an embedded question) Attached to a noun or noun phrase to ask indirectly what or who something was.
KO: 그 사람이 누구였는지 알아요?
EN: Do you know who that person was?
Conjugation of 이다

무슨 얘기 였는지 기억나?

Do you remember what we talked about?

— 추락의 해부 (2023)

어릴 때부터 얼마나 골칫거리 였는지 몰라

You have no idea what a handful you were, even as a child.

— 귀향 (2006)

첫 번째에 내가 제대로 하지 못한 부분이 어디 였는지 알 것 같았다.

I think I figured out where I went wrong the first time.