H.J. Res. 46, A joint resolution for annexing Texas to the United States, January 27, 1845
After the Senate rejected the Texas annexation treaty, proponents of annexation decided to gain Texas by a joint resolution of Congress, which required only a majority vote in each house. Passed by the House (120–98) and Senate (27–25) in 1845, the resolution was later challenged but upheld by the Supreme Court.
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Congress doth consent that the territory properly included within and rightfully belonging to the Republic of Texas may be erected into a new State, to be called the State of Texas
Records of the U.S. Senate, National Archives and Records Administration