N.C. Gen. Stat. § 108A-6: Vacancies.

Appointments to fill vacancies shall be made in the manner set out in G.S. 108A-3. All such appointments shall be for the remainder of the former member's term of office and shall not constitute a term for the purposes of G.S. 108A-4. (1917, c. 170, s. 1; 1919, c. 46, s. 3; C.S., s. 5014; 1937, c. 319, s. 3; 1941, c. 270, s. 2; 1945, c. 47; 1953, c. 132; 1955, c. 249; 1957, c. 100, s. 1; 1959, c. 1255, s. 1; 1961, c. 186; 1963, c. 139; c. 247, ss. 1, 2; 1969, c. 546, s. 1; 1981, c. 275, s. 1.)