Final answer:
The correct verbs to fill the blanks are 'fui' and 'gustaba', which mean 'went' and 'liked' respectively.
Step-by-step explanation:
Anoche
- fui a ver una película nueva que me gustaba mucho.
In this sentence, the verb that correctly fills the first blank is 'fui', which is the past tense of the verb 'ir' (to go) in the first-person singular. This indicates that the person went to see a new movie.
The second blank should be filled with the verb 'gustaba', which is the imperfect tense of the verb 'gustar' (to like). This indicates that the movie was liked or enjoyed by the person in the past.
Learn more about Verb conjugation in Spanish