Two people were talking about how to run a business. Then one of them said: "It's good to work the ethnic angle."
What does "work the ethnic angle" mean?
If they're talking about the staff, it might be the case that they are in a country where a company is encourage (sometimes obliged) to employ a certain number of staff from various different ethnic backgrounds. In that case, they might have to look at choosing their staff from the angle of the applicants' ethnicity.
I favour the first possible meaning.