AHSME 1950 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: $\textbf{(A)}\ \text{Increases} \textbf{(B)}\ \text{Decreases} \textbf{(C)}\ \text{Remains constant} \textbf{(D)}\ \text{Cannot be predicted} \\ \textbf{(E)}\ \text{Becomes }(n-3)\text{ straight angles}$