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      Question

      Find the number of sides in a regular polygon if its

      each interior angle is 160°.
      A 17 Correct Answer Incorrect Answer
      B 14 Correct Answer Incorrect Answer
      C 18 Correct Answer Incorrect Answer
      D 15 Correct Answer Incorrect Answer

      Solution

      Formula:

      Each interior angle of a regular polygon =

      Given:

      On Solving we get,

      180(n − 2) = 160n

      ⇒ 180n − 360 = 160n

      ⇒ 20n = 360

      ⇒ n = 18

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