Question

What is the internal angle sum of a hexagon?

Answer 1

`720^circ`

Explanation:

First, we split the hexagon into 6 equal isoceles triangles, each have the angles (`60,theta,theta`) (`360/6=60`).

`theta=(180-60)/2=120/2=60`

`"Sum of internal angles"=6(120)=720^circ`

Answer 2

`720^0`

Explanation:

The internal sum of four triangles is `4 times 180^0`

Answer 3

Or, it can be directly calculated using direct formula,

`rarr(n-2)*180^@` where `n` is the number of sides of polygon.

In case of hexagon, `n=6`

So, internal angles sum`=(6-2)*180^@=4*180^@=540^@`