Question

if each exterior angle of a regular polygon is 12 degree find the number of sides of the polygon

Answer 1

Answer:

The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees.The internal angle at each vertex of an regular dodecagon is equal to = 1800 = 150 degrees. ... The total exterior angle of a 12 sided polygon is 360 degrees.

Answer 2

Given:

Each exterior angle of a regular polygon is 12 degrees.

To Find:

The number of sides of the polygon.

Solution:

To find the number of sides of the polygon will follow the following steps:

As we know,

The sum of all the exterior angles of the polygon is 360° and all the angles and sides of the polygon are equal.

Polygon can be hexagon, octagon, or heptagon as per the number of sides present in it.

Number of sides = number of angles

Let their be x angles in polygon then,

Sum of 12x angle = 360°

$x \: = \frac{360}{12} = 30$

Henceforth, the number of sides of the polygon is 30.