Why did the Supreme Court find in favor of Worcester in the 1832 Supreme Court case?

In the 1832 Supreme Court case Worcester v. Georgia, the Court ruled in favor of Worcester, affirming that the state of Georgia had no authority to impose its laws on Cherokee lands. The decision was based on the principle that the federal government had exclusive authority over Indian affairs, as established in treaties. Chief Justice John Marshall emphasized that the Cherokee Nation was a distinct community with its own rights, and thus, the state could not infringe upon their sovereignty. This ruling highlighted the federal government's obligation to protect Native American nations from state encroachments.