For thou hast made him a little lower than the angels, and hast crowned him with glory and honour. (Psalm 8:5, KJV)
Man was made "a little lower than the angels," and Christ was a man. The Bible's teaching is that the man Jesus was not God. God is not a man (see Numbers 23:19; 1 Samuel 15:29); but Jesus was a man, and the Son of Man (see Matthew 16:13).
If Jesus, as a man, were God, then why would he have called the Father his God?
Jesus saith unto her, Touch me not; for I am not yet ascended to my Father: but go to my brethren, and say unto them, I ascend unto my Father, and your Father; and to my God, and your God. (John 20:17, KJV)
While Christ was not called God, the fact that God was IN Christ is the Biblical teaching.
To wit, that God was in Christ, reconciling the world unto himself, not imputing their trespasses unto them; and hath committed unto us the word of reconciliation. (2 Corinthians 5:19, KJV)
Conclusion
It would be rather odd to say either that "God is God's God" or that "God was in God." Yet there is a distinction made between God and Christ throughout the New Testament thethat shows them to be separate.