Final answer:
The level of protein structure described in the statement is the secondary structure where amino acids form a large sheet-like structure.
Step-by-step explanation:
The level of structure in a protein described by the statement 'The chain of amino acids layers into a large sheet' is the secondary structure. The secondary structure refers to the regular sub-structures that form within a protein, including the alpha helix and the beta sheet. In the case of a beta sheet, the chain of amino acids folds into a layered arrangement, creating a large sheet-like structure.