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°.
