Answer:
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Step-by-step explanation:
On April 1803, the United States purchased Louisiana from France but the boundaries were not clearly defined at the time. The US created the district of Louisiana in 1804, which included the northeast part of present New Mexico. In December 1812, the non-county part of Missouri territory was created and that overlapped the present New Mexico.
On February 1819, all of present New Mexico came under the control of Spain. It became part of the Republic of Mexico when the Adams-Onis Treaty between the US and Spain established boundaries between the two countries.
On August 1821, Mexico gained independence form Spain and New Mexico was declared a territory of the Republic of Mexico in July 1824.
On January 1828, Treaty of Limits between Mexico and the US defined the boundaries between the two countries to be same as that established by the Adams-Onis Treaty.