In 1979, shortly after she left Congress, Governor
Jerry Brown appointed Burke to the Board of
Regents of the University of California; but she resigned later that year when Governor Brown appointed her to fill a vacancy in the District 4 seat on the Los Angeles County Board of Supervisors. Burke was the first female and first African-American supervisor. Her district, however, was largely made up of affluent, conservative white areas on the coast. In 1980, Burke was defeated in her bid for a full term in the seat by Republican
Deane Dana. In 1982, Brown again appointed her to the Regents. In 1992, Burke ran for the District 2 seat on the L.A. County Board of Supervisors. The primary election was held in June, 1992, just weeks after the
1992 Los Angeles Riots. After a hard-fought campaign that often turned negative, Burke narrowly defeated State Senator
Diane Watson. In 2007, Burke announced that she would retire when her term expired in 2008. On July 27, 2007, the
Los Angeles Times published a front-page story revealing that she was not living in the mostly low-income district she represented, but rather in the wealthy
Brentwood neighborhood, an apparent violation of state law. Burke responded that she was living at her Brentwood mansion because the townhouse she listed in official political filings was being remodeled. On March 29, 2012, she was nominated by President
Barack Obama to serve on the
Amtrak Board of Directors. Confirmed by the
U.S. Senate, she held a seat on that board until 2024. ==Personal life==