Question

If each of the exterior angles of a polygon is one-eighth of its
adjacent interior angle, then find each exterior angle of the polygon.
Also identify the polygon. ​

Answer 1

Each exterior angle of this polygon is 20 degrees. It can be calculated by applying that both the angles are supplements of each other.

Also, This polygon is of 18 sides , it is also called as octakaidecagon.

Answer 2

Step-by-step explanation:

Let the interior angle = x°

and exterior angle = 1/8°

A/Q

x°+1/8=180

9x/8=180

9x=180×8

x=180×8/9

=160°

Exterior angle=1/8×180

=20°

therefore, let no. of sides be n

A/Q

Each exterior angle=360°/n

= 20°=360/n

=n=360/30

: n = 18

And ,

it's the 18 sided polygon octadecagon

✓