The Weeping Angel would die, however, please note that it is impossible to kill a weeping angel as they are a quantum being.

A weeping angel is a statue of an angel crying found in Doctor Who. It can come closer and move when no one is looking. They can also turn out the lights.

Weeping angels are fictitious creatures from the fantasy series "Doctor Who". According to this story, they send people to the past, and feed on the energy that is liberated in the process. In one of the episodes they actually kill their victims, but that's not common for a weeping angel. Also, the weeping angels don't move while somebody looks at them - as long as somebody looks at them, they look like an unmovable statue.

Weeping softly she left his bedside, his wound still weeping.

When a Weeping Angel is being observed, it can't move. It becomes 'quantum locked', it ceases to exist and becomes just a stone statue.

If two Angels were to face each other, then there would be no way to break the lock on their own, they'd be there forever unless something else moved them apart.