Angel Hair Pasta with Chicken

This is from "Easy Everyday Cooking".

2 T. olive oil
2 skinless, boneless chicken breast halves, cut into 1-inch cubes.
1 carrot, sliced diagonally into 1/4 inch pieces
Broccoli florets, steamed until just tender
2 cloves garlic, minced
12 oz. angel hair pasta
2/3 c. chicken broth
1 t. dried basil
1/4 c. shredded Parmesan Cheese

Heat 1 T. oil in a medium skillet over medium heat; add chicken. Cook, stirring.,until chicken is cooked through, about 5 minutes. Remove from skillet and drain on paper towels. Heat remaining oil in same skillet. Begin heating water for pasta. Add carrot to skillet; cook stirring, for 4 minutes. Add broccoli and garlic to skillet; cook, stirring, for 2 minutes longer. Cook pasta according to directions. While pasta is cooking, add chicken broth, basil, and Parmesan to skillet. Stir to combine. Return chicken to skillet. Reduce heat and simmer for 4 minutes. Drain pasta. Place in a large serving bowl. Top with chicken and vegetable mixtrue. Serve immediately.