Final answer:
The sum of the interior angles of a convex 14-gon is calculated using the formula (n - 2) × 180°, which equals 2160°.
Step-by-step explanation:
The sum of the interior angles of any polygon can be found using the formula (n - 2) × 180°, where n is the number of sides. For a convex 14-gon, we plug in 14 for n in the formula to find the sum:
sum of all interior angles = (n-2)x180, n being the number of sides.
Sum = (14 - 2) × 180°
Sum = 12 × 180°
Sum = 2160°
This calculation shows that the sum of the interior angles of a convex 14-gon is 2160 degrees.