AHSME 1952 Problem 21

The sides of a regular polygon of $n$ sides, $n>4$, are extended to form a star. The number of degrees at each point of the star is: $\textbf{(A) \ }\frac{360}{n} \textbf{(B) \ }\frac{(n-4)180}{n} \textbf{(C) \ }\frac{(n-2)180}{n}$ $\textbf{(D) \ }180-\frac{90}{n} \textbf{(E) \ }\frac{180}{n}$