Question

ans this q no 14 with a clear process so that i can understand properly

Answer 1

let the interior angle be x
exterior angle be x_108
now, interior+extirior=180
x+x_108=180
2x=288
x=144
exterior angle is180_144=36
no of sides=360/36=10

Answer 2

Let the exterior angle be x.

Then the corresponding interior angle will be x + 108.

We know that Interior angles add upto 180 degrees.

x + x + 108 = 180.

2x + 108 = 180

2x = 180 - 108

2x = 72

x = 36.


We know that number of sides of the polygon = 360/each exterior angle

= 360/36

=10.


Therefore the number of sides of the polygon = 10.


Hope this helps!