Yes you "can" do this, but its not really a good idea,IME. Your Angels are going to be far more aggressive at eating than your Discus which means over time you will have trouble with your discus growth and health. Your Angels are also more aggressive to each other which tends to stress out Discus. There is also the matter of disease resistance. Angels in general seem hardier and more able to fight pathogens( my subjective opinion), which in turn makes them very good carriers of pathogens. People do keep the two together and I am sure for some it works out fine to their expectations... but.. I am also sure that keeping the two together can cause alot of stress to Discus. Thats been my experience. Angels and Discus do share alot of similarities but that doesn't mean that they should necessarily be kept together. I have kept several wild angels and altums with both Domestic and wild Discus.. It never works out in the long run. .Problem is people see a picture or short vid and think they go together well . There is a world of difference between whats okay in the short term and whats okay in the Long term.
If you have the capability to maintain a separate Tank for each I would advise it. You will better be able to enjoy each Group of Beautiful Fish .
hth,
al