If they were fancy goldfish that like their temp in the low to mid 70sF and if you had a huge 200 gallon tank and you kept the water at 75F (low side for Angels and high side for Fancy goldfish) then maybe things would work. But Angels love having plants in their tank to feel secure and goldfish just eat all plants really fast. Plus they eat completely different kinds of food to be healthy. Goldfish need Goldfish food which is low in protein and high in carbohydrates. Angesl eat tropical fish food which is high in protein. Mixing things up ends with sick fish.
As was mentioned fancy goldfish get to be 6-8 inches in size. Regular goldfish (pondfish) can get to be 2 feet in length. This means that any tank not able to take a fish 2 feet in length isn't a good enough tank.
Pick one kind of fish per tank and you will have a much healthier setup.