The answer is the option C, which is: C. [tex] 72degrees [/tex]
The explanation for this exercise is shown below:
To solve this problem you must apply the following proccedure:
1. By definition, you have that:
[tex] \pi =180degrees [/tex]
2. Therefore, if you want to express [tex] \frac{2\pi}{5} [/tex] in degrees, you must multiply it by [tex] 180 degrees [/tex] and divide it then by [tex] \pi [/tex], as you can see below:
[tex] \frac{2\pi}{5}=(\frac{2\pi}{5})(\frac{180}{\pi} )=72degrees [/tex]
