Why would angels follow the teachings of Christ if they are the creations and servants of God, besides the angels are not Christian but Jewish in nature. The letters “-el” at the end of their names (such as Gabriel, Uriel) is actually the Hebrew name for God. In his orginal name Gabri-el is actually Hebrew for “messenger of God.” Angels are not Christianity’s creations nor their guardians, if anything they have more ties to Judaism.
Jesus Christ IS God, the second Person of the three-Personed God. Who is one God, in three Persons. [It’s beyond me to understand, but then, who wants a God we can fully understand?]
So, angels follow the teachings of Christ because He has always been God and He was the one who created them in the first place; He existed in heaven before He took on a human body and came to earth.
I don’t make a distinction between Christianity’s Jewish roots and its Christian fruit because it’s all one story. There IS no Christianity without Judaism; it’s the first part and the foundation of our history.