Preheat oven to 400°F (200°C). Line a baking sheet with foil and use a rack if you have one.

Whisk brown sugar, ketchup, vinegar, soy sauce, paprika, garlic powder, salt, pepper, and oil in a bowl.

Pat drumsticks dry. Toss them in half the sauce to coat.

Arrange drumsticks on the rack and bake 25 minutes.

Brush with remaining sauce, then bake 10-15 more minutes until glaze is sticky and internal temp reads 165°F.

Let rest 5 minutes before serving.