Question
The sum of interior angles of a regular polygon is
1260°. Find the number of diagonals.Solution
Sum of interior angles of n-gon = (n − 2) × 180 (n − 2) × 180 = 1260 n − 2 = 1260/180 = 7 n = 9 Number of diagonals = n(n − 3)/2 = 9 × 6 / 2 = 27.
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