What is the total sum, in degrees, of the interior angles of a six-sided polygon?

What is the total sum, in degrees, of the interior angles of a six-sided polygon?

• A. 360 degrees
• B. 480 degrees
• C. 720 degrees
• D. 1080 degrees

Answer: (C)

The total sum of the interior angles of a polygon can be calculated using the formula (n - 2) × 180 degrees, where n is the number of sides in the polygon. For a six-sided polygon, or hexagon, you substitute n with 6: (6 - 2) × 180 = 4 × 180 = 720 degrees. This calculation reflects the fundamental property of polygons, which helps in various geometric applications. Each increase in the number of sides adds an additional 180 degrees to the total sum of the interior angles, which is why a polygon with six sides culminates in a total of 720 degrees. Thus, the selection of 720 degrees accurately represents the sum of the interior angles for a hexagon.

The total sum of the interior angles of a polygon can be calculated using the formula (n - 2) × 180 degrees, where n is the number of sides in the polygon. For a six-sided polygon, or hexagon, you substitute n with 6:

(6 - 2) × 180 = 4 × 180 = 720 degrees.

This calculation reflects the fundamental property of polygons, which helps in various geometric applications. Each increase in the number of sides adds an additional 180 degrees to the total sum of the interior angles, which is why a polygon with six sides culminates in a total of 720 degrees. Thus, the selection of 720 degrees accurately represents the sum of the interior angles for a hexagon.