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      Question

      The sum of interior angles of a regular polygon is

      1260┬░. Find┬а the number of diagonals.
      A 27 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 11 Correct Answer Incorrect Answer
      D 39 Correct Answer Incorrect Answer

      Solution

      Sum of interior angles of n-gon = (n тИТ 2) ├Ч 180 (n тИТ 2) ├Ч 180 = 1260 n тИТ 2 = 1260/180 = 7 n = 9 Number of diagonals = n(n тИТ 3)/2 = 9 ├Ч 6 / 2 = 27.

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