The pair replace George Bryant, who quit the agency in December to launch a start-up with Jason Fretwell, a senior AMV creative, and Jackie Stevenson, the former managing director at Craik Jones Watson Mitchell Voelkel.
In their new roles, Mawd-sley and Angear will run the AMV planning department as well as working on pitches and existing business.
Angear joined AMV in 2001 from JWT and has since principally worked on the Walkers account. Mawdsley joined in 2004 from Saatchi & Saatchi and worked on the successful retention of Sainsbury's and the creation of the "try something new today" strategy. He also headed planning on Royal Mail and Dulux.
Farah Ramzan Golant, the AMV chief executive, said: "When you have such titans in the planning arsenal, it makes the job of activating succession management a clear and simple one."
At the same time, the agency has also promoted James Miller to the role of head of international planning, with responsibility for all of its international accounts.
He joined AMV in 2001 and worked as a planner on Guinness before taking over planning duties on FedEx across Europe, Latin America and Asia.
He has also worked on Gillette and Johnson & Johnson.