Question

which of the following does not fit with this categ local government board of supervisors city council mayor house of delegates

Explanation:

The category is local government. A Board of Supervisors, City Council, and Mayor are all local government bodies/officials that govern cities, counties, or local jurisdictions. The House of Delegates is a state-level legislative body (in U.S. states like Virginia) and not part of local government.

Answer:

House of Delegates