does this sound right to ur ears ?
Through what ways could audiences watch film back in the day?
if not, how would you express the same idea ?
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The phrase "back in the day" is an extremely informal phrase, and the more formal "Through what ways could" is quite jarring when the two are combined. Worse, without context "back in the day" could mean 5 years ago or 20 or 80 years ago, depending on the speaker. Obviously, people watched film 5 years ago just as they do now. 80 years ago they watched film exclusively in theaters. Until "back in the day" is better-defined the idea behind the question is not readily formulated.
That said, you could ask something like "Back in the day, how could audiences watch films?"