Final answer:
The Chrysler Building was constructed using the Art Deco architectural design style, characterized by lavish ornamentation and streamlined composition.
Step-by-step explanation:
The architectural design style used on the Chrysler Building is Art Deco. Designed by William Van Alen, the building was constructed between 1928 and 1930, reflecting the lavish ornamentation and streamlined composition of the Art Deco style. The building's opulent spire is a prominent feature that showcases the characteristics of this architectural style.