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Question
Find the number of sides in a polygon if the sum of its interior angle is: 1620°
Solution
Let no. of sides = n
∴ Sum of angles of polygon = 1620°
∴ (2n - a) × 90° = 1620°
⇒ 2(n - 2) = `(1620°)/(90°)`
⇒ n - 2 = `(1620°)/(2 xx 90°)`
⇒ n - 2 = 9
⇒ n = 9 + 2
⇒ n = 11
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