Part of the Kembata Tembaro Zone, Angacha is bordered on the south by Kacha Bira, on the west by Doyogena, on the north by the Hadiya Zone, on the east by Damboya, and on the southeast by Kedida Gamela.
The majority of the inhabitants are Protestants, with 88.32% of the population reporting that belief, 5.46% practiced Ethiopian Orthodox Christianity, and 3.93% were Catholic.
The three largest ethnic groups reported in Angacha were the Kambaata (94.71%), the Hadiya (4.1%) and the Amhara (0.68%); all other ethnic groups made up 0.51% of the population.
Kambaata is spoken as a first language by 94.43%, 4.15% speak Hadiya, and 1.2% speak Amharic; the remaining 0.22% spoke all other primary languages reported.
67.32% of the population said they were Protestants, 20.72% practiced Ethiopian Orthodox Christianity, 9.87% were Catholic, and 1.75% were Muslim.