[1] In 1950, Nkegbe enrolled at St. Augustine's College in Cape Coast and obtained the Cambridge School Leaving Certificate in 1953.
In 1956, he returned to St. Augustine's College to complete the Sixth Form course, after which he gained admission to the University of Ghana, Legon, in 1958.
In 1972, when the National Redemption Council (NRC) took over at the helm of Ghana's governmental affairs, Nkegbe was appointed Commissioner for Education, Culture, and Sports.
He served in this capacity until he resigned later that same year in 1978 under Gen I K Acheampong’s Supreme Military Council (SMC) regime.
The SMC II regime and government was overthrown by the Armed Forces Revolutionary Council (AFRC) on 4 June 1979.