In a mixing bowl, combine the finely shredded pepper jack cheese, softened cream cheese, diced green chiles, garlic powder, and chili powder. Use a fork or spatula to mix everything together until well combined.
Lay out a wonton wrapper on a clean surface. Place about a teaspoon of the cheese filling in the center of the wrapper. Moisten the edges of the wrapper with a little water using your finger. Fold the wrapper in half to form a triangle, pressing the edges firmly to seal.
In a deep frying pan or pot, heat 4 cups of vegetable oil over medium-high heat. Test if the oil is ready by dropping in a small piece of wonton wrapper.
Carefully add a few wontons to the hot oil, making sure not to overcrowd the pan. Fry for about 2-3 minutes on each side or until golden brown and crispy.
Once all the wontons are fried, serve them warm with your favorite dipping sauces. Enjoy!
