The ^angel^ is the minister of the church of Smyrna.
Note who is talking: -> the first and the last -> the One who was dead and is alive.
Furthermore, note that it says ^which^ indicating that the One who died and rose again is the first and the last.
The ^first and last^ what? The answer is given in Rev 1:8.
Jesus is the Almighty and His HolySpirit is the One who speaks the Word through His Body.