Biblical names often had special meaning. For instance, Abraham means "father of many [peoples]" -- a name given by God when He entered into a covenant with the patriarch (Genesis 17:4-5).
The two good angels whose names we know may also reflect their roles. Michael means "who is like God?" -- a name that fits Michael's challenge to Satan over the disposition of the body of Moses (Jude 1:9). Satan had once said, "I will be like the Most High" (Isaiah 14:14), and Michael defended God's authority concerning Moses' remains. We know Michael's name because another angel identified Michael to Daniel (Daniel 10:13; 12:1).
Gabriel means "man of God" -- a name that fits his role as a messenger for God delivering important revelations to Daniel, Zechariah (father of John the Baptist), and Mary, mother of Jesus.
We can take comfort in the personal identities and roles of God's mighty angelic servants who work to accomplish His will "in all places of His dominion" (Psalm 103:20).
Angels are the dispensers and administrators of the divine beneficence toward us.