Formula for interior angles (shapes)

The formula for each interior angle in a more-than-1-sided regular polygon is used in geometry to calculate some angles in a regular polygon. However, any polygon (whether regular or not) has the same sum of interior angles.

The formula for all the interior angles is: $${[(n-2)180]}^\circ={[(n-2)\pi]}\ \text{radians}$$ where n is the number of sides.

In a regular polygon, one internal angle is equal to $${[(n-2)180]\over n}^\circ={[(n-2)\pi] \over n}\ \text{radians}$$.

Examples
The interior angle for a hexagon is $$6-2(180)^\circ = 720^\circ$$.