Because he was a crual king and they are exited to see him gone
The subordinate clause is "you must start researching now"
The sentence that contains a dangling modifier is C) Looking through the window, the room seemed very large.
It is dangling because we don't know who the participial phrase <em>looking through the window </em>refers to. It certainly doesn't refer to the room, the room wasn't looking through the window.
