To find the sum of the measures of the interior angles of a polygon, you can use the formula:
Sum of interior angles = (n – 2) × 180°
Where n represents the number of sides in the polygon. For a 14-sided polygon, we plug in n = 14:
Sum of interior angles = (14 – 2) × 180°
This simplifies to:
Sum of interior angles = 12 × 180°
Now, if you calculate that:
12 × 180° = 2160°
So, the total sum of the interior angles of a 14-sided polygon is 2160 degrees.
This means that if you were to take all the interior angles of the polygon and add them up, you would arrive at a total of 2160 degrees. Knowing this can be quite useful, especially in various fields such as geometry, architecture, and design!