Originally those 2 wires of the alarms auto dialer would have connected to a BT socket terminals 2 & 5. Terminals 2 & 5 correspond to the BT cable that comes into the house connected to line A & B at the rear of the socket. If you had a older system, you will find terminal 3 was also connected when you pull the the front of the socket off. Terminal 3 is the bell wire for the telephone.
PS ^^ You should tell the alarm company you sorted it for a fiver 😂
Yes and maybe ask them exactly they were going to do for £190.
Im on a role today, I changed the  batteries in Mrs Joes stairlift. That probably saved me £80. Two 12v 7amp batteries from Screwfix for £55. Only took 10 minutes, though this is the 4th time I’ve done them.
Enyaq EV