Jesus was in a sabbath day service in a Synagogue, and chose this Old Testament passage to read publicly. It shouldn't surprise us that many of Jesus’ quotes contain Old Testament Scripture, because He used the Bible as the foundational authority on earth. He didn't write a replacement text… He expounded the old text. Someone might argue that He began the New Testament, and that’s true, but the New is forever premised on the Old. We can’t fully understand one without the other.
Supporters of some other religious texts have tried to identify their text with the Bible, but these texts are not authoritatively interwoven into the old texts like the books of the Bible are woven together and dependent on each other. Jesus didn't point out any errors in the Old Testament, or protest that the Jewish fathers had rewritten Scripture, or argue that a translation wasn't correct. He had no need to do that, since His teachings perfectly coincided with the writings of the Old Testament.
Divine inspirational authority rests upon the Old and New Testaments of the Bible, not upon the personality, writings, or the intelligence of any modern man. The Christian who would speak with authority must use the Old Words… God’s Words. The preacher’s work is not to find new words and ideas, but to expound the Old Words… God’s Words: The Bible. That's what Jesus did.