Wadge was born in Msida. He received secondary education at San Gorg Preca College (ex Dun Guzepp Zammit (Brighella)) in Ħamrun and higher education at the University of Malta, graduating in business management.
He was elected on behalf of the Nationalist Party (Partit Nazzjonalista). Wadge unsuccessfully contest the general election on the 9th district. Wadge has started his personal career, after graduating, in operations management for about 12 years.
He currently has a minor role in a local company.
He was involved in football and is now a politician. Football Abela Wadge was a committee member with Msida Saint-Joseph F.C. for 10 years.
Initially he joined in the 2004/2005 season, when he held the position of the Financial Director (3 years), followed by becoming vice-president (2 years) and as President before resigning. Wadge resigned to join politics.
Politics Abela Wadge contested the local election in Msida in 2013, as a candidate with the Nationalist Party, and was successfully elected as councilor.
He was assigned the portfolio of Sports & Youths. On 15 September 2014, he was accepted by the Nationalist Party to run for the general election, on their behalf. In July 2015 he was elected as the President of the Collage of Local Councillors (KKLPN).
Wadge is the President of the College of Local Councillors (KKLPN) and a member of Nationalist Party"s Executive Committee and Administrative committee. In the same year, he was elected as an executive member of the College of Local Councillors (KKLPN).