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For how many values of n (n ≥ 3) is each interior angle of a regular n-sided polygon a whole number of degrees?

Competition practiceGeometry
  • A22
  • B24
  • C20
  • D18

Step-by-Step Solution

The exterior angle must be a whole number, so must divide 360. has divisors; leaving out 1 and 2 gives 22 values.
Answer: A) 22

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