Question

sum of angles of a polygon is 3420 degree so what is the the sum of angles of a polygon with one side more​

Answer 1

Answer:

180(n-2)=3420 Divide each side by 180. n-2=19 Add 2 to each side. ANSWER A polygon whose interior angles have a sum of 3420 degrees has 21 sides.

Answer 2

Total sum of the angles will be 3600°

We know that if a polygon has 'n' sides then the relation between the number of sides of the polygon with the total sum of the internal angles of the polygon will be

(2n – 4) × 90°=Total sum of the internal angles.

(2n-4)×90°=3420

2n-4=38

n=21

so, in the question it is asked to increase the side by 1 so, increase in the angle will be

(2×22-4)×90°=3600°