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2012 AMC 10A Question 10

AMC10 · 2012 AMC 10A

Question 10

Mary divides a circle into $12$ sectors. The central angles of these sectors, measured in degrees, are all integers and they form an arithmetic sequence. What is the degree measure of the smallest possible sector angle?
  1. $5$
  2. $6$
  3. $8$
  4. $10$
  5. $12$