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Mexico refused to recognize the annexation.
Severed diplomatic ties, but that was it. See related questions.
The annexation of Texas caused Mexico to break off diplomatic relations. When that happens it usually doesn't take long for things to turn ugly. The border clash called the Thornton Affair was sufficient to push Congress into a Declaration of War.
The Republic of Texas was annexed by the United States after Mexico had provided diplomatic notice that it continued to have a claim on Texas as a State in revolt and that the Annexation would be considered an Act of War. When the US annexed Texas, Mexico broke off diplomatic relations with the US but it did not pass a Declaration of War. The problems of Texas became the problems of the US and they required fixing.
There were several of them. Two instances include:The annexation of Texas as a state in 1846 led almost immediately to border conflicts that escalated into war.The occupation of the port of Veracruz in 1914 to prevent an arms shipment to reach Mexico (it did, by the way). Mexico was in the middle of it Mexican Revolution, so it couldn't respond accordingly, but this event led both countries to the brink of war and damaged relations for decades.
c. Texas
US-Mexico relations have had many highs and lows. Some examples of the later include: The US annexation of Texas, which ultimately led to the Mexican-American War (1846 - 1848). The US occupation of Veracruz (1914).
Yes. Both countries have a full diplomatic relationship established; both have embassies and both have a small but ongoing trade office at each other's capital city.
Texas declared independence from Mexico in 1836. After this, many Texans were in favor of becoming a separate entity from the United States. President John Tyler pursued the annexation of Texas as the 28th state in the Union as a way of gaining support for his second term.
A provocation to start a war, as Mexico had already warned the US that annexation would mean war (it did; and Mexico lost).
It was one of the nations that immediately recognized the Republic of Texas as an independent country.
Mexico Texas had been an independent country for nine years when it was annexed by the United States.