Final answer:
The Works Progress Administration (WPA) was the federal relief agency that provided food, jobs, and education during the 1930s as part of the New Deal to combat the Great Depression.
Step-by-step explanation:
The federal relief agency that worked to provide food, jobs, and education during the 1930s was the Works Progress Administration (WPA). Created under the Emergency Relief Appropriation Act of 1935, the WPA was a key element of President Franklin D. Roosevelt's New Deal, which aimed to combat the Great Depression. This agency provided employment relief to over eight million Americans by funding public works projects, thereby offering substantial support in the form of constructing public buildings and roads, as well as creating jobs in the arts and education sectors.