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This sounds like it could be the flu.
Classic flu symptoms:
So, I would treat it like the flu -- but if you have the capability to get to the doctor to get checked out, that would be helpful, as they could also consider antiviral medication for the flu, as well as make sure this isn't a bacterial infection.
Listening to the lungs to make sure this isn't a pneumonia would be helpful.
39.5 is high enough that if you continue to have this kind of temperature -- I would get seen by your doctor.