Question

What is the total degrees of a 12-sided polygon?

Answer 1

`1800` degrees

Explanation:

The degrees of a n-sided polygon is given by the expression

`180(n-2)`

Where `n` is the number of sides. We can plug in `12` for `n` to get

`180(12-2)=180(10)=color(blue)(1800)`

Therefore, there are `1800` degrees in a `12`-sided polygon.

Hope this helps!

Answer 2

`color(purple)("Sum of exterior angles " = (2 * 12 - 4) (pi/2) = 10pi^c = 1800^@`

Explanation:

Sum of the exterior angles of a regular polygon is

`2pi^c " or " 360^@`

Sum of the exterior angles of a regular polygon is

`3n -4 " right angles " or (2n -4 )* (pi/2)^c = (2n-4) * 90^@`

Since it's a 12 sided polygon,

`"Sum of exterior angles " = (2 * 12 - 4) (pi/2) = 10pi^c = 1800^@`