IPA: /ˌɪn.təˈrɒɡ.ə.tɪv.li/
KK: /ɪnˈtɛrəˌɡætɪvli/
In a way that asks a question or seeks information.
She looked at him interrogatively, waiting for an answer.
Interrogatively → It is formed from "interrogare" (meaning to ask or question) and the suffix "-ively" (meaning in a manner). The word "interrogatively" means in a manner that involves asking questions or seeking information.
Think of the word 'interrogate' which means to ask questions, and remember that 'interrogatively' describes doing so in a questioning manner.