Problem

1962 AHSME Problem 31

The ratio of the interior angles of two regular polygons with sides of unit length is 3: 2. How many such pairs are there?

\textbf{(A)}\ 1 \qquad \textbf{(B)}\ 2 \qquad \textbf{(C)}\ 3 \qquad \textbf{(D)}\ 4 \qquad \textbf{(E)}\ \infty


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


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