Chi no Ryu - The Angels wish to allow the Earth to rejuvenate itself. In order to do that, they have to kill humanity. But that's not such a big deal to them, society is corrupt and evil, and humans are what caused pain and suffering to the Earth. Although they tend to be wishy washy when it comes to having opinions on moral subjects, they do have things that they want to stick up for.
Ten no Ryu - The Seals have something they want to protect and have moral values that their "angelic" counterparts don't seem to display. There are things in life too valuable to simply discard, so it's their duty to protect what they hold dear. In fact, they can no longer be a Ten no Ryu if the things that they wish to protect disappear.
Undecided - People who fall under this category would take even longer deciding than Kamui did! I wonder how long it took them to take this survey...