Story highlights

Questions Tuesday centered on whether defining marriage should be left to voters in individual states or decided by judicial system

Chief Justice John Roberts, who shocked conservatives with his swing vote to uphold Obamacare, seemed to lean conservative

Eyes on Justice Anthony Kennedy, a key vote for challengers to the state bans, who has penned decisions in favor of gay rights

Washington CNN  — 

Supreme Court justices appeared divided Tuesday during historic arguments over the constitutionality of gay marriage, with Justice Anthony Kennedy returning to a familiar role as the court’s pivotal vote.

Chief Justice John Roberts – who shocked conservatives with his swing vote to uphold Obamacare – this time seemed to lean more closely to conservative justices.

The arguments unfurled inside a packed courtroom on Tuesday while supporters and opponents of same-sex marriage rallied outside – with one protester even interrupting the arguments from within.

RELATED: How a Cincinnati judge could shape the gay marriage case

Many questions on Tuesday centered around the definition of marriage and whether the decision to authorize or ban gay marriage should be left to voters in individual states or decided by the judicial system.