In a small bowl add all the marinade ingredients and whisk well to combine.
Pour 1/3 of the marinade over the chicken in a large Ziploc bag, or glass bowl, and refrigerate for a minimum of 1 hour (overnight is best).
Once chicken is finished marinating:
Preheat the oven to 375 decrees f and line a baking tray with parchment paper.
Place the broccoli, and red peppers evenly on the tray, then pour over all the remaining marinade and mix together so everything is well coated and lay the chicken pieces on top of the veggies.
Bake for 20-25 minutes until the chicken is cooked though and golden brown on the sides.