If a Vacancy Occurs During the Term of Office of the Lieutenant

If a vacancy occurs during the term of office of the lieutenant governor,how is a new lieutenant governor selected?

A) A special state-wide election is called to fill the remaining term of the former lieutenant governor
B) The Senate elects one of its members to the position of lieutenant governor to serve the balance of the vacant term
C) The governor appoints a new lieutenant governor, with the approval of a vote of the full legislature
D) The president pro tempore of the Texas Senate takes over the vacated position for the remainder of the term of office
E) The Legislative Redistricting Board appoints a new lieutenant governor, with the approval of a vote of the full legislature