biblical word for angel, is מלאך malakh (malach),
which translates simply as "messenger,"
Genesis 22:11–15. The angel of the Lord appears to Abraham and refers to God in the first person.
Exodus 3:2–4. The angel of the Lord appears to Moses in a flame in verse 2, and God speaks to Moses from the flame in verse 4.
Numbers 22:22–38. The angel of the Lord meets the prophet Balaam on the road. In verse 38, Balaam identifies the angel who spoke to him as delivering the word of God.
Judges 2:1–3. The angel of the Lord appears to Israel.
Judges 6:11–23. The angel of the Lord appears to Gideon, and in verse 22 Gideon fears for his life because he was in the presence of God.
Judges 13:3–22. The angel of the Lord appears to Manoah and his wife. In verse 16, differentiates himself from God. ("And the angel of the Lord said unto Manoah. . .if thou wilt offer a burnt offering, thou must offer it unto the Lord.")