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      Question

      If each interior angle of a regular polygon is 135

      degrees, then number of side of this polygon is
      A 6 Correct Answer Incorrect Answer
      B 12 Correct Answer Incorrect Answer
      C 18 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer

      Solution

      Let each ineterior angle of the regualr polygon of N sides is I & each exterior angle of the same polygon is E So now as we know I + E = 180 or 135 + E = 180 or E = 45 = 360/N So N = 360/45 = 8

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