Design style of the 1920s and 1930s — do react (anag) (3,4)
I believe the answer is:
art deco
(Other definitions for art deco that I've seen before include "Geometric style of ornamentation" , "Architecture/design movement of the 1920s and 30s" , "modern style" , "Old style" , "Do trace (anag) - style of the 1920s and 1930s" .)