Question

Find the sum of the interior angle measures of a convex 17-gon (a seventeen-sided polygon).

Answer 1

Answer:

2700°

Step-by-step explanation:

The sum of the interior angles of an n-sided convex polygon is

Sum = 180(n-2)°

For a heptadecagon, n = 17. So,

Sum = 180(17 - 2)

Sum = 180 × 15

Sum = 2700°

Answer 2

Answer: 2700°

Step-by-step explanation: The formula for finding the sum of the measures of the interior angles of a polygon is 180 (n-2) where "n" represents the number of sides. Since our polygon has 17 sides, we can plug a 17 in for the "n" in our formula. Now, we have 180 (17 - 2). Now, we can simplify inside the parentheses first by subtracting 2 from 17 which is 15. Now, we have as followed.

180 (15) = 2700

Therefore, if a polygon has 17 sides, then the sum of the measures of its interior angles is 2700°.