PREPARE pasta according to package directions; drain, reserving ½ cup cooking water.
HEAT oil in large skillet over medium-high heat. Add garlic and crushed red pepper; cook for 30 seconds or until fragrant. Add zucchini and mushrooms; season with salt and pepper. Cook, stirring occasionally, for 5 to 8 minutes or until tender. Remove from heat.
ADD pasta to skillet along with reserved water and stir gently to coat. Top with cheese.