Texas Business Organizations Code - BUS ORG § 200.308. Vacancy

(a) Except as provided by Subsection (b), a vacancy occurring in the office of a trust manager of a real estate investment trust may be filled by the affirmative vote of the majority of the remaining trust managers, even if the majority of trust managers constitutes less than a quorum of the trust managers.

(b) The certificate of formation or bylaws of the real estate investment trust may provide an alternative procedure for filling a vacancy occurring in the office of a trust manager, including filling vacancies by simple majority or super majority votes of the shareholders.

(c) The term of a trust manager elected to fill a vacancy occurring in the office of a trust manager is the unexpired term of the trust manager's predecessor in office and until the trust manager's successor is elected and has qualified.