1952 AHSME 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} \qquad \textbf{(B) \ }\frac{(n-4)180}{n} \qquad \textbf{(C) \ }\frac{(n-2)180}{n} \qquad

\textbf{(D) \ }180-\frac{90}{n} \qquad \textbf{(E) \ }\frac{180}{n}

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