Question 1

The sum of the interior angles of a convex n-sided polygon is less than $$2019^{\circ}$$. The maximum possible value of n is

Correct Answer: 13

Solution

The sum of the interior angles of an n-sided convex polygon = 180(n-2). This is given as less than 2019.

=> 180(n - 2) < 2019

=> (n - 2) < 11.217

=> n < 13.217

Thus, the maximum value of n can be 13.

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