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Question
Is it possible to have a polygon, whose sum of interior angle is: 870°
Solution
Let no. of sides = n
Sum of angles = 870°
(n - 2) × 180° = 870°
n - 2 = `870/180`
n - 2 = `29/6`
n = `29/6 + 2`
n = `29/6 + 2/1`
n = `(29 + 12)/6`
n = `41/6`
Which is not a whole number.
Hence it is not possible to have a polygon, the sum of whose interior angles is 870°.
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