Good evening, the child has a temperature of 39 for a whole day, I giv…

Good evening, the child has a temperature of 39 for a whole day, I give him Nurofen, but there is no strong effect, he's very itchy in his teeth, he coughs. Could this be a reaction to the teeth? We have already five of them. Although when the first ones came out the temperature was 38.7 and it lasted two days, then started to drop, while the other three teeth popped up painlessly.