Which option correctly how Anglo American hard their cattle in 1820 and 1830

There seems to be some error in the way the information is stated in your query. However, if you are referring to how Anglo Americans raised their cattle in 1820 and 1830, here is a possible revised answer:

During the 1820s and 1830s, Anglo Americans raised their cattle through extensive ranching methods. This involved allowing the cattle to roam freely on large open ranges and graze on the abundant grasslands of areas like Texas and the western frontier. The cattle were left to fend for themselves, requiring minimal human intervention. This type of cattle rearing made use of the natural resources available, allowing the animals to grow and thrive under relatively self-sustaining conditions.