The story
Morris Angel started his business in 1840 in the Seven Dials area of London, near Covent Garden, selling second-hand clothing and tailors' samples from Savile Row. Morris Angel's shop became popular with theatrical actors, who at that time had to purchase their own clothes and costumes for auditions and performances. It was a request from actors to hire rather than buy outfits for the duration of a performance that began the business model that remains in use by the company today.
Morris Angel brought his son Daniel into the business in 1870, and seven years later, the family opened a shop at 119 Shaftesbury Avenue which still houses Angels Fancy Dress nearly 150 years later.
From Wikipedia’s article on Angels Costumes, shared under CC BY-SA 4.0.4