Answer:
Explanation:
The sum of the interior angles in a polygon can be calculated using the following formula:
(n - 2) * 180 degrees
where n is the number of sides in the polygon.
To understand why this formula works, let's consider a single interior angle in the polygon. Each interior angle is split into two equal angles that form a straight line. The sum of these two angles is 180 degrees. Now, if we look at all the interior angles in the polygon, we can see that they are divided into (n - 2) pairs of angles that form straight lines. This means that the sum of all the interior angles in the polygon is (n - 2) * 180 degrees.
For a hexagon, which has 6 sides, we can plug in n = 6:
(6 - 2) * 180 = 4 * 180 = 720 degrees
So, the sum of the interior angles in a hexagon is 720 degrees.