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A regular polygon has 9 sides. What angle does one of its sides subtend at the centre of the polygon?

Competition practiceGeometry
  • A40°
  • B140°
  • C20°
  • D60°

Step-by-Step Solution

The nine central angles fill a complete turn, so each one is 360°/9 = 40°. The value 140° is the interior angle of the polygon, (9 − 2) × 180°/9, not the central angle.
Answer: A) 40°

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