Final answer:
The primary complaint among many black communities that had riots in the years from 1965 to 1960 was the lack of good healthcare, job opportunities, and safe housing in urban African American neighborhoods.
Step-by-step explanation:
The primary complaint among many black communities that had riots in the years from 1965 to 1960 was the lack of good healthcare, job opportunities, and safe housing in urban African American neighborhoods. Despite the programs of the Great Society, these essential resources were significantly lacking, leading to frustration and anger among the residents. Many African Americans felt that the federal government and civil rights groups were not effectively addressing their needs for racial justice and equality, which contributed to their disillusionment and support for more radical ideas.