Whether Christ is the Head of the angels?

Objections

Objection 1 : It would seem that Christ as man is not the head of the angels. For the head and members are of one nature. But Christ as man is not of the same nature with the angels, but only with men, since, as is written (Heb. 2:16): "For nowhere doth He take hold of the angels, but of the seed of Abraham He taketh hold." Therefore Christ as man is not the head of the angels.
Objection 2 : Further, Christ is the head of such as belong to the Church, which is His Body, as is written (Eph. 1:23). But the angels do not belong to the Church. For the Church is the congregation of the faithful: and in the angels there is no faith, for they do not "walk by faith" but "by sight," otherwise they would be "absent from the Lord," as the Apostle argues (2 Cor. 5:6,7). Therefore Christ as man is not head of the angels.
Objection 3 : Further, Augustine says (Tract. xix; xxiii in Joan.), that as "the Word" which "was in the beginning with the Father" quickens souls, so the "Word made flesh" quickens bodies, which angels lack. But the Word made flesh is Christ as man. Therefore Christ as man does not give life to angels, and hence as man He is not the head of the angels.