Final answer:
Anglo-American settlers supported the Mexican Constitution of 1824 due to its federalist principles, which provided a system similar to that of the United States, allowing settlers to maintain their own social and economic practices, including slavery.
Step-by-step explanation:
Anglo-American settlers in Texas supported the Mexican Constitution of 1824 because it supported the principle of federalism, which allowed for more local control and autonomy within the states of Mexico, similar to the United States' system. This federalism was attractive to settlers as it offered them the opportunity to govern themselves more closely according to their own principles and traditions, which included the institution of slavery, despite the Mexican government's attempts to limit or abolish it within its territory. The Anglo-American settlers had already established slavery in Texas and saw the Constitution of 1824 as more aligned with their interests compared to subsequent centralist policies that threatened their way of life and economic interests, leading to rising tensions and eventual conflict.