An improved headgear is structured to secure a mask to the head of a patient and comprises a parietal support, an occipital support, and a zygomatic support connected together. The zygomatic support comprises a pair of zygomatic braces that are each structured to engage the face of the patient and to support the mask in fluid communication with the patient. The zygomatic braces each comprise at least one of a cephalic element structured to engage the face cephalic to the crest of the zygomatic bone, and a caudal element structured to engage the face caudal to the zygomatic bone.