Respuesta :

Solution:

Given:

A dodecagon

A dodecagon is a 12-sided polygon that encloses space.

The sum of exterior angles of a polygon is 360°.

The exterior angle of a regular polygon with n-sides is;

[tex]\begin{gathered} Each\text{ exterior angle(}\theta)\text{ = }\frac{360}{n} \\ \\ \text{Hence, the sum of all the exterior angles will, } \\ n\theta=360^0 \end{gathered}[/tex]

Therefore, the sum of exterior angles of a dodecagon is also 360 degrees.