That is two different phase angles. It is entirely reasonable to say two different phase angles from a single phase supply.[/QUOTE.] They are not in phase so they are different phases.
We'll keep going in circles as long as we are using the term 'phase' to mean multiple things.
This is defined as a 'single phase' supply. There are two 'hot' output legs, they have two different phase angles. In some usages people would say that the two legs are two phases, but others argue against that because they don't like having two phases coming out of a 'single phase' supply.
You can't logically argue that it isn't a 'single phase' supply because that is what it is called. One could as easily call it Betsy. (Residential service in the UK, single phase plus ground I'll call Sam. 90 degree two phase I'll call Donald. 120 degree three phase I'll call Timothy. Residential center tap single phase in the US I'll call Betsy, and two legs 120 degrees apart, which is also called 'single phase' in the US I will call Norbert.)
Because we use the same word to name different aspects of systems, we get tied up in knots either trying to change the name, or trying to explain why the aspects that don't quite match the name are not really there. I absolutely agree that there are two phase angles present. I'm not uncomfortable calling the two 'hot' legs two different phases. But the name is still a 'single phase' service, and there are things that a true 'two phase' service can do that a two hot leg single phase service cannot do.
-Jon