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8Step-by-step explanation:angle (interior) of a polygon (n side)is θ=( nn−2 )180 ∘ ∴ EXTERIOR angle =180 ∘ −θGiven θ180 ∘ −θ = 31 ⇒ ( nn−2 )180[1−( nn−2 )]180 ∘ = 31 ⇒ n−22 = 31 ⇒ n=8 SOLUTION



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