We use "the" because there is only one film industry (or only one in the relevant country). "a film industry" would sound peculiar in that context.
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We use "the" because there is only one film industry (or only one in the relevant country).
"a film industry" would sound peculiar in that context.
And of course since "industry" is a count noun, it requires some kind of determiner. But as GPY said, not in this instance the indefinite article "a".