The sum of the interior angles of a convex n-sided polygon is less than 2019°. The maximum possible value of n is
Explanation:
Sum of interior angles of n-sided convex polygon is given by the formula (n - 2) × 180°
⇒ (n - 2) × 180° < 2019°
⇒ (n - 2) < 2019/180
⇒ (n - 2) < 11.22
⇒ n < 13.22
∴ Highest possible value of n is 13. [n has to be an integer.]
Hence, 13.
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