Question

The value (in degrees) of each of the interior angles of a regular n-gon is represented by x . Write an inequality that describes the minimum value of x .

Answer 1

We are actually given a theorem that states that the sum of the interior angles of a regular n-gon is

$(n-2)\times \pi$

Since all the interior angles of a regular n-gon have the same measure, each of these angles measures

$\dfrac{(n-2)\times \pi}{n}$

radians. So, you don't need any inequality, because we know the exact value of any of the angles.