When someone gets angina from excersise, say biking and they stop pedalling and stop and the pain goes almost instantly is this still angina character?

Yes: Angina is a mismatch between demand and supply. When the demand is increased and supply is limited then chest pain occurs. Exercise increases the demand and when there is a blockage in coronary arteries the patient feels the symptoms, upon stopping his activity the pain goes away.

Angina pain.: A chest pain that comes on with exercise and resolves with rest is consistent with what we would call "angina".