Final answer:
True An ex-officio member is part of a governing body by virtue of holding another office, and depending on the local governance system, their role can vary. Different systems like council-administrator, council-manager, and council-elected executive demonstrate the myriad ways in which local government structures can separate policymaking and administrative duties.
Step-by-step explanation:
An ex-officio member is someone who is a member of a body (committee, board, etc.) by virtue of holding another office.
When it comes to a city council or other forms of local government, the specific appointments and roles of ex-officio members can vary based on the laws and regulations of the state and the local charter that establishes the governing body.
In relation to the council-administrator system, the voters elect council members, and those council members appoint an administrator to oversee government operations. This system aims to separate policymaking from administrative duties.
Similarly, under the council-manager system, the council appoints a city manager who handles administrative functions. In contrast, a council-elected executive system is characterized by voters electing both the council and an executive who has veto powers and budgetary responsibilities similar to those of a state governor.
In the remaining examples given, the Trustee system, the power of colonial governors to veto legislation, Dillon's Rule, and the professional versus citizen legislature, all pertain to the structure and powers within different governmental systems.