I see nobody has replied yet..
You need to go back to the builder and if they dont have a resolution or you dont trust the direction the conversation is going you may need a structural engineer.
If you had any independant design or planning advise you may ask for their professional opinion too.
Plus check if the building works were subjected to building control inspections.
Firstly the good news is it may just be normal settlement cracks.
Your house and your extension weigh different weights. Think a full cup of tea and a half cup placed on a big sponge at the same time the full cup will compress the sponge more.
However in your situation there was a full cup of tea on the sponge you added an empty cup and began to fill it so the area under it will be squished at a slower rate and the cup may tilt a little as originally the one area near the house was already squished by the full cup so settlement makes the new part appear to pull away from the old part.
Its "normal" subsidence.
You can get subsidence monitoring tools which will track the distance and speed at which the gap is opening.
(This method is equivelant to screwing a screw on either side of the gap to get 2 fixed points and measure between the points at regular intervals)
If its not normal settlement you are looking at methods of underpining and mechanically bolting the new part into the older part.
The health warning, the gaps shoud be small if the cracks are in the same place internal and external, if windows or doors are (suddenly) sticking or window glass cracking I would go straight to an independant engineer.
Did the builder have insurance?