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Question
Find the number of sides in a regular polygon, when each interior angle is: 140°
Solution
Each interior angle of a regular polygon
= `(("n" - 2) xx 180°)/"n"`
⇒ `(("n" - 2) xx 180°)/"n"` = 140°
⇒ 180°(n - 2) = 140°(n)
⇒ 9(n - 2) = 7n
⇒ n = `(18)/(2)`
= 9.
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