Gwyneth Paltrow and Chris Martin Laugh and Drink Together at Art Exhibit
11/07/2013 AT 06:30 PM EST
Paltrow, 41, and Martin, 36 – who celebrate their 10-year wedding anniversary next month – walked arm in arm through the Los Angeles Natural History Museum to view works by their good friend Rob Reynolds at the opening of his exhibition celebrating the 100th anniversary of the L.A. Aqueduct.
An eyewitness says the couple – parents to Apple, 9, and Moses, 7 – were "clearly enjoying each other's company" as they laughed, drank and chatted with fellow guests, including Jack Black and his wife, Tanya Haden.
Perhaps their uncharacteristic public appearance is part of Paltrow's new plan to dismiss the opinions of people she doesn't know.
"The older I get, I realize it doesn't matter what people who don't know you think," PEOPLE's 2013 Most Beautiful Woman told the British magazine Red. "It doesn't matter. You're wasting your energy."