A bicycle rear derailleur is provided with a base member, a movable member, a moving mechanism and an angular adjustment arrangement. The base member includes a first support portion and a first axle with the first support portion being pivotally mounted on the first axle. The movable member includes a second support portion, a chain guide and a second axle with the chain guide being pivotally mounted on the second support portion by the second axle. The moving mechanism is coupled between the first and second support portions. The angular adjustment arrangement is operatively coupled to either electrically pivot the first support portion relative to the first axle, or electrically pivot the chain guide relative to the second support portion when the moving mechanism is moved to move the second support portion of the movable member relative to the first support portion of the base member.