How did the conflict between the United States and Mexico increase the need for compromise between the North and South?

Compromise of 1850, in U.S. history, a series of measures proposed by the “great compromiser,” Sen. Henry Clay of Kentucky, and passed by the U.S. Congress in an effort to settle several outstanding slavery issues and to avert the threat of dissolution of the Union.  Missouri Compromise, (1820), in U.S. history, measure worked out between the North and the South and passed by the U.S. Congress that allowed for admission of Missouri as the 24th state (1821). It marked the beginning of the prolonged sectional conflict over the extension of slavery that led to the American Civil War.

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c is the correct answer for this question.