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2009 AMC 8 Question 9

AMC8 · 2009 AMC 8

Question 9

Construct a square on one side of an equilateral triangle. On one non-adjacent side of the square, construct a regular pentagon, as shown. On a non-adjacent side of the pentagon, construct a regular hexagon. Continue to construct regular polygons in the same way, until you construct an octagon. How many sides does the resulting polygon have?

Question illustration
  1. $21$
  2. $23$
  3. $25$
  4. $27$
  5. $29$