In the Doctor Who Script To Screen Episode Good as Gold the Doctor seemed to have "destroyed" the Weeping Angel.
How did he do that?
He has never been shown to be able to do that before!
Science Fiction & Fantasy Stack Exchange is a question and answer site for science fiction and fantasy enthusiasts. It only takes a minute to sign up.Sign up to join this community
We know that the Weeping Angels feed off energy - time energy, by sending people back in time, and also real energy, leeching it from the Byzantium. The Doctor comments on its attempt to steal the Flame in Good as Gold,
It's trying to steal the Olympic Flame [and] spoil the very spirit of respect, excellence and friendship it represents.
I think it was trying to leech off that energy, and what the Doctor did was set up a feedback loop back into the Flame (as seen by the Flame increasing in size prior to the Angel's "demise") which the Angel leeched too much energy off - causing it to lose control of its defence mechanism (its statue body) and that exploded.
However once the Flame was removed and the power levels were back to normal, the Angel reformed as it was now able to exert control over its abilities and defence mechanism once more.