Question

For a polygon with 16 sides, which equation below represents the sum of the interior angles in the polygon?

a. sum= (180)(16) = 2880°
b. sum = (360)(14) = 5040°
c. sum = (360)(16) = 5760°
d. sum = (180)(14) = 2520°

Answer 1

The sum of the interior angles of a polygon with 16 sides is calculated using the formula (n - 2) × 180°, which equals 2520° for a 16-sided polygon, therefore the correct answer is (d).

Step-by-step explanation:

The question asks for the sum of the interior angles in a polygon with 16 sides. To calculate the sum of the interior angles of any polygon, you can use the formula (n - 2) × 180°, where n is the number of sides in the polygon. For a polygon with 16 sides, the correct equation is:

sum = (16 - 2) × 180° = 14 × 180° = 2520°.

Therefore, the correct answer to the question is (d) sum = (180)(14) = 2520°.