Sounds like you have your hands very full. I am not sure what Angelman's Syndrome is, but the developmental delays can be hard to handle. Your 10 yr old sounds like a handful all by her self! I would maybe have a treat she could earn each day, like 30 mins of TV, or a special snack, or being able to go outside for 30 mins, whatever motivates her. We had horrible homework struggles, even physical violence from my son until we had to force him out of our home at age 14. It was so hard. I know what the homework battles can be. stick to your guns, sounds like your teachers are working with you, this is a good but rare thing.
Have either kids seen a psychiatrist for evaluation? Had neuropsychologist testing? Many on here highly recommend seeing a neuropsychologist and having their testing done - it can take many hours (one person said about 12 hours?) but it is broken up into several days. We had wonderful luck with our developmental pediatrician, he did a LOT of testing with many differnt professionals included, and helped a lot.
Sending hugs,
Susie