¿Qué dijimos nosotros? Dijimos que todavía no lo hemos investigado.
¿Por qué no podía ver las estrellas? Porque el astrónomo rompió el telescopio.
Explanation:
In the fists question the missing part is the beginning of the answer. If someone asks ¿que dijimos? (what did we say?) the other person should answer with the verb that indicates what they say, which is dijimos que.
In the second question, the missing part also is the beginning of the answer. If someone asks why (porque) the person should answer with a reason, so the answer should start with porque.