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The sum of all but one of the interior angles of a convex polygon is 1500°. How many sides does the polygon have?

Competition practiceGeometry
  • A11
  • B10
  • C12
  • D9

Step-by-Step Solution

The full sum must exceed 1500 by less than 180°. The only multiple of 180 that works is 1620 (missing angle 120°), so and .
Answer: A) 11

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