Disclosed herein are embodiments describing nonrebreather facemasks for efficiently and comfortably delivering oxygen to patients. One embodiment describes a cup-shaped pliable facemask that is suited to cover and seal a patient's nose, mouth, and cheeks within the cup-shaped facemask. Certain other embodiments describe an inlet tube outwardly extending from the facemask at an angle in line with the pathway of a patient's nostrils to better provide oxygen directly into a patient's nose. Other embodiments envision varying facemask's stiffness for improved comfort and sealing against the patient's face. While other embodiments envision a reduction in dead space of a facemask when worn by a patient to improve oxygen efficiency used by the patient.