Question

The sum of the angle measures of a polygon with sides is 2340. Find s

Answer 1

Hey mate,

If s= 15

Whatever the number of sides of a polygon,

the sum of its exterior angles is always 360∘

Further, each pair of exterior angle and interior angle adds up to 180∘

Hence in a polygon with s sides (or angles),

the sum of all the interior and exterior angles would be 180∘×s

and sum of interior angles would be 180∘×n−360∘=180∘(s−2)

As sum of angles is 2340∘

Hence, 180(s−2)=2340 or s−2=2340180=13

and s=13+2=15 and polygon is a Pentadecagon.

Hope it will help you

Answer 2

Answer:

Step-by-step explanation:

Let s be the number of sides of the polygon, then

(s - 2)180° = 2340°

s - 2 = 2340° / 180°

s - 2 = 13

s = 15.