What are your water params? Can you post a picture of the angelfish with the problems?
The ADF doesn't get ick... and they are not toxic to the fish. ADF are a tropical species of dwarf frog, can live in pH of anywhere from 6.5 - 8.0 safely, but it is important to acclimate them properly, especially if the pH from where they were purchased is different than that of your tank. The best food for them is live black worms. The ADF doesn't have very good eyesight, and if the food isn't moving, they have a difficult time in finding it. Most other foods go unnoticed long enough to break down and pollute the water. Between this possibility and the frog dying, it is possible that your water params have jumped... and the stress of this could cause ick to plague the fish in the tank. Without more information and a picture of the angelfish, there isn't much anyone can do to help you.
The info we need:
Size of the tank, how long it has been set up, water params (ammonia, nitrite, nitrate, and pH), temp, how much decoration?
What other fish are in the tank? How many? What kind of filter are you using? How often are you doing water changes? Do you have a quarantine tank set up?
Anything else you can think to tell us....