I agree with everyone's observation that your Parlor Palm (Chamaedorea elegans)
appears to have a major mite infestation. Hot, dry conditions are perfect environments for spider mites, which are teeny, tiny mites that are almost invisible to the human eye. They spin a very fine webbing on the undersides of leaves to protect their eggs. In your 2nd photo, I see what appears to be the fine webbing of mites.
I live in a humid climate and thankfully don't have an issue with spider mites but I keep a container of Bonide Neem Oil Spray in with my garden supplies for use on mealybugs and other plant pests. It's an insecticide, miticide, fungicide combination with no pre-mixing needed, I get mine from Home Depot garden center but it's available at many other places as well: https://www.homedepot.com/p/Bo...
You will need to thoroughly saturate your plant with the spray, getting all the nooks and crannies, as well as the reverse sides of the leaves and the treatment may have to be repeated a week or so later, to be sure you've killed any newly hatched eggs as well as unhatched eggs that may still be present. If there are any other plants in the vicinity of where your palm has been located, you will likely need to treat those plants as well.