Final answer:
The Lincoln Center Theater became famous for promoting the Civil Rights Movement, hosting events and performances that were influential in advancing the cause.
Step-by-step explanation:
The theater that became famous for promoting the Civil Rights Movement is the Lincoln Center Theater. The Lincoln Center for the Performing Arts was a major cultural hub during the 1960s, and it hosted events and performances that were influential in advancing the civil rights cause. For example, on August 28, 1963, the famous March on Washington took place at the Lincoln Memorial, which is located within the Lincoln Center complex. During the march, Martin Luther King, Jr. delivered his iconic 'I Have a Dream' speech, calling for an end to racial injustice in America.