He was elected to the Norwegian Parliament from Sør-Trøndelag in 1965, but was not re-elected in 1969. He had previously served in the position of deputy representative during the terms 1954–1957 (for Nord-Trøndelag) and 1958–1961.
Tangvik was a member of the municipality councils in Hegra, Stjørdal and Trondheim between 1945 and 1965.
