Preheat oven to 375°F (190°C). Grease a 9x13 inch baking dish.
In a large bowl, combine the shredded chicken, enchilada sauce, diced green chilies, black beans, and corn.
Spread half of the chicken mixture evenly in the bottom of the prepared baking dish.
Layer half of the tortilla wedges over the chicken mixture.
Sprinkle half of the cheddar cheese and half of the Monterey Jack cheese over the tortillas.
Repeat the layers: spread the remaining chicken mixture, top with the remaining tortilla wedges, and then sprinkle with the remaining cheeses.
Cover the baking dish tightly with foil.
Bake for 20 minutes. Remove the foil and bake for an additional 10-15 minutes, or until the cheese is melted and bubbly and the edges are golden brown.
Let stand for 5-10 minutes before serving.
Notes
Serve hot with your favorite toppings like sour cream, salsa, or avocado.