Find the sum of the interior angles and the sum of the exterior angles of a 17 sides figure.

Question

I need help on how to solve this question 

Answer 1

use the formula (n-2)(180) where n=17, the number of sides of the polygon

(n-2)(180)

(17-2)(180)

(15)(180)

2700º is the sum of the interior angles of a 17-gon

the sum of the exterior angles of any polygon is always 360º

to confirm this, suppose the 17-gon is a regular polygon

each interior angle would be about 2700/17=158.8235º

each exterior angle would be about 180-158.8235=21.1765º

there are 17 angles of 21.1765º

17*21.1765=360º