Final answer:
The sum of the interior angles of a regular hexagon can be determined by multiplying the number of equilateral triangles (6) by the sum of the angles in one triangle (180 degrees), resulting in a total of 1080 degrees.
Step-by-step explanation:
To find the sum of the interior angles of a regular hexagon abcdef, which is divided into six equilateral triangles, you use the fact that each equilateral triangle has angles that add up to 180 degrees.
Since there are six triangles within the hexagon and each triangle has interior angles totaling 180 degrees, you simply multiply the number of triangles by the sum of the angles in one triangle: 6 triangles x 180 degrees = 1080 degrees. Therefore, the sum of the interior angles of the regular hexagon is 1080 degrees.