The Supreme Court agreed Tuesday to consider a new challenge to President Obama’s Affordable Care Act and decide whether employers with religious objections may refuse to provide their workers with mandated insurance coverage of contraceptives

The cases accepted by the court offer complex questions about religious freedom and equality for female workers along with an issue the court has not yet confronted: whether secular, for-profit corporations are protected by the Constitution or federal statute from complying with a law because of their owners’ religious beliefs.