Contradiction with Jeremiah 31:33
Acts 7:53 mentions laws delivered by angels, whereas Jeremiah 31:33 speaks of God directly writing His law on hearts.
Jeremiah 31:33: But this [shall be] the covenant that I will make with the house of Israel; After those days, saith the LORD, I will put my law in their inward parts, and write it in their hearts; and will be their God, and they shall be my people.
Contradiction with Galatians 3:19
Acts 7:53 emphasizes receiving the law by angelic mediation, whereas Galatians 3:19 questions why the law was added because of transgressions.
Galatians 3:19: Wherefore then [serveth] the law? It was added because of transgressions, till the seed should come to whom the promise was made; [and it was] ordained by angels in the hand of a mediator.
Contradiction with Hebrews 2:2-3
Acts 7:53 discusses the law given by angels, while Hebrews 2:2-3 emphasizes the supremacy of the message of salvation spoken by the Lord and not angels.
Hebrews 2:2-3: For if the word spoken by angels was stedfast, and every transgression and disobedience received a just recompence of reward;
Contradiction with Romans 10:4
Acts 7:53 points to the law's delivery by angels, but Romans 10:4 argues Christ is the end of the law for righteousness.
Romans 10:4: For Christ [is] the end of the law for righteousness to every one that believeth.
Contradiction with Ephesians 2:15
Acts 7:53 mentions laws ordained by angels, but Ephesians 2:15 states that Christ abolished the law of commandments in ordinances.
Ephesians 2:15: Having abolished in his flesh the enmity, [even] the law of commandments [contained] in ordinances; for to make in himself of twain one new man, [so] making peace;
Paradox #1
One potential inconsistency with that verse is the idea that the law was given by angels, which is not explicitly mentioned in the Old Testament. The traditional Jewish belief is that the law was given directly by God to Moses on Mount Sinai, so this idea might seem to contradict that account.