WASHINGTON — The Supreme Court on Monday said it would not consider sequels to its decisions this month on a baker who refused to serve a gay couple and on challenges to voting maps warped by politics.

In a pair of one-sentence orders, the court instead sent appeals in similar disputes back to lower courts for further proceedings, passing up opportunities to clarify its inconclusive rulings in some of the most closely watched cases this term.

One order told a lower court to reconsider the case of a florist in Washington State who had refused to create a floral arrangement for a same-sex wedding. The justices vacated a decision against the florist from the Washington Supreme Court and instructed it to take a fresh look at the dispute in light of this month’s ruling in a similar dispute involving the baker, Jack Phillips of Colorado.

The case, Arlene’s Flowers v. State of Washington, No. 17-108, started in 2013, when the florist, Barronelle Stutzman, turned down a request from a longtime customer, Robert Ingersoll, to provide flowers for his wedding to another man, Curt Freed. Ms. Stutzman said her religious principles did not allow her to do so.