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1960 AMC 12 Question 27

AMC12 · 1960 AMC 12

Question 27

Let $S$ be the sum of the interior angles of a polygon $P$ for which each interior angle is $7\dfrac12$ times the exterior angle at the same vertex. Then:
  1. $S=2660^\circ$ and $P$ may be regular
  2. $S=2660^\circ$ and $P$ is not regular
  3. $S=2700^\circ$ and $P$ is regular
  4. $S=2700^\circ$ and $P$ is not regular
  5. $S=2700^\circ$ and $P$ may or may not be
    regular