1950 AHSME Problem 12

As the number of sides of a polygon increases from 3 to n, the sum of the exterior angles formed by extending each side in succession:

\begin{array}{l} \textbf{(A)}\ \text{Increases}\qquad\textbf{(B)}\ \text{Decreases}\qquad\textbf{(C)}\ \text{Remains constant}\qquad\textbf{(D)}\ \text{Cannot be predicted}\qquad\\ \textbf{(E)}\ \text{Becomes }(n-3)\text{ straight angles} \end{array}

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