Angelika Noack partnered Sabine Dähne to win the coxless pairs silver medal at the 1976 Olympics in Montréal. Four years later at Moskva she moved to the coxed fours and won the gold medal. In 1970 Noack won her first title at the East German youth nationals with the fours. In 1971 she won the bronze medal at the European Championships, and in 1972 and 1973 she won both the East German national title and a silver medal at the Europeans.
At the first female World Championships in 1974 Noack won a gold medal with the coxed fours. In 1975 and 1977, she won gold medals at the Worlds with Dähne in the coxless pairs. She won further East German national titles with the coxed fours in 1978-79, and at the World Championships she won gold in 1978, and silver in 1979, both times with the fours. By profession, Noack became a graduated sports teacher and rowing coach within the German Rowing Federation.