Final answer:
The governor of the state sets the time for a special election to fill the vacancy in the Senate, while the governor may call for a special election to fill the vacancy in the House of Representatives.
Step-by-step explanation:
When there is a vacancy during a regular term, the process of choosing a new Senator or Representative depends on the office being vacated. For the Senate, Amendment XVII stipulates that the governor of the state sets the time for a special election to fill the opening. The state legislature may authorize the governor to temporarily fill the seat until the election is held. In the case of the House of Representatives, the governor of the state may call for a special election to fill the vacancy.