Is Inhalation Of Plastic Fumes Dangerous?

The plastic handle of my frying pan was accidentally left over the flames of the burner on my stove.. The handle cracked but didn t completely melt, however the fumes are disgusting and toxic smelling. This happened nine hours ago. Windows were open all day but now I can still smell the toxic smell in the kitchen and rooms nearby. I bought a carbon filter for my ac unit and turned on the fan but the smell is still strong in the kitchen. How dangerous is it for me and my family to breathe this air?