I had a lower wisdom tooth extracted a month ago from my dentist. i've had a headache and cheek bone discomfort since the extraction. will this get better?

A month is quite a while for the healing process, but not unheard of. The difficulty of the surgery is unknown. Have your treating dentist re-examine the area.

Where you placed on antibiotics and pain medications? A difficult extraction can cause problems for weeks, so it is best you go back to your dentist for a postoperative exam and possible x-ray of area.

Healing has to do with degree of difficulty of the procedure, your overall health and your body's ability to heal, and complicating factors such as infection. Your Dentist is responsible for your post surgical care. Return to him/her for evaluation.

Call your dentist/surgeon and go back in for a follow up visit. Sometimes you can have a piece of bone that sloughs off in the area and cause issues