2023 AMC 10B Problem 7

Square ABCD is rotated 20^\circ clockwise about its center to obtain square EFGH, as shown below. What is the degree measure of \angle EAB?

\textbf{(A)} 24^\circ \qquad \textbf{(B)} 35^\circ \qquad \textbf{(C)} 30^\circ \qquad \textbf{(D)} 32^\circ \qquad \textbf{(E)} 20^\circ

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.