Why did Taizong marry a Chinese princess to a western Turkish khan?

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Emperor Taizong of the Tang dynasty arranged the marriage of a Chinese princess to a western Turkish khan to seal a political alliance.12

Following a period of internal division among the western Turks, a new khan had successfully reestablished a degree of unified control with the support of the Chinese government. As part of the resulting agreement, the khan became a tributary to the Tang, and the marriage served to formalize and solidify this diplomatic relationship.12