Q.What could be happening to these trees?
These trees are about 15-20 years old. I don’t know what they are called but some seem to be dying. What could be wrong with them ?

Certified GKH Gardening Expert
Your arborvitae shrubs look desiccated. Was there a particularly cold, windy and dry winter or hot, dry summer? Even established arborvitae need irrigation during dry spells. I don't see bagworms in the photos, but look up close for those.
https://www.gardeningknowhow.com/ornamental/trees/arborvitae/growing-arborvitae-trees.htm
https://www.gardeningknowhow.com/ornamental/trees/arborvitae/winter-damage-to-arborvitae.htm
https://www.gardeningknowhow.com/plant-problems/pests/insects/treatment-bagworms.htm