How did the compromise of 1850 affect land gained through th us-mexican war

After the Mexican-American War, the United States gained the following territories:
1) California
2) Arizona
3) New Mexico
4) Utah

Most of these territories were affected by the Compromise of 1850. California became a free state in this compromise. Utah and New Mexico implemented the policy of popular sovereignty, allowing citizens to vote on whether or not they want the institution of slavery.