Phase angle refers to the relationship of the voltage to the current in an AC signal. Unless the load is 100% resistive, there will be a phase difference between the two.
Without a lot of technical gibberish............high phase angles affect the amp dissipation in a undesirable way.
And then you can run into things like "Safe Operating Area" (SOA, on power transistor data sheets) problems, which can also lead to transistor failure.
Unless you design amps for a living, you may be blessed that it is not something that will keep you awake at nights.
One of the reasons I like to build amps for Maggies. It makes life easier. Plus, I like the way that they sound.
Pat