Hexagon Exterior Angles

In geometrics, the above figure is a regular hexagon.  A regular hexagon has six sides of equivalent distance end to end, every pair intersecting to form a vertex of which there are six.  This type of  polygon has six interior angles of equal measure and has six exterior angles of equal measure.

In geometrics, suppose that a side BC of a triangle ABC is produced to D, then

I like to share this Alternate Exterior Angles Examples with you all through my article.


Characteristics of a regular hexagon:


The regular hexagon has the total number of six sides.

The regular hexagon has the total number of six vertices.

The interior angles of regula hexagon is 120 degree, such as
The exterior angles of regular hexagon is 60 degree, such as
The exterior angle of regular hexagon is equal to the angle 360 divided by the number of sides of hexagon.

i.e.,  The regular polygon of eterior angles = `360/n`

where, n is the number of sides.

Therefore, the hexagon exterior angles = `360/6`           Here, n = 6 (hexagon has six sides)

Exterior angles of hexagon:

The total measurements of the exterior angles of a hexagon, one at every vertex, is 360°.

i.e.,  

Algebra is widely used in day to day activities watch out for my forthcoming posts on cbse syllabus for class 12 and cbse sample papers class 12. I am sure they will be helpful.


Hexagon exterior angles:

Example 1:

Find the missing exterior angles of below hexagon?

Solution:

Let x be the missing exterior angles of hexagon.

Given exterior angles are,

62, 35, 82, 62 and 35.

We know that, total exterior angles of hexagon are equal to the 360 degree.

That is ,

(62 + 35 + 82 + 62 + 35) + x = 360

(276) + x = 360

x = 360 - 276

x = 84o