The Supreme Court's decision in Obergefell v.Hodges (2015) was significant because it

A) allowed state governments to limit marriage to one man and one woman.
B) struck down state laws that made sodomy a crime.
C) required that all states offer marriage licenses to two people of the same sex.
D) declared the full faith and credit clause unconstitutional.

The Supreme Court's decision in Obergefell v. Hodges declared that the Fourteenth Amendment requires a state to license a marriage between two people of the same sex and to recognize such a marriage lawfully licensed and performed out of state. Therefore, option C is the correct answer as it shows that the decision required all states to offer marriage licenses to same-sex couples.