The Chief Justice leads the business of the Supreme Court and presides over oral arguments. When the court renders an opinion, the Chief Justice -- when in the majority -- decides who writes the court 's opinion. The Chief Justice also has significant agenda - setting power over the court 's meetings. In the case of an impeachment of a President of the United States, which has occurred twice, the Chief Justice presides over the trial in the U.S. Senate. Additionally, the presidential oath of office is typically administered by the Chief Justice (although the Constitution does not assign this duty to anyone in particular).
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