Which of the following represents the measure of all angles coterminal with 418° angle?

418° is the same angle as 360° + 58° .

And then, if you add any whole number of 360s onto it,
you get the same angle again.

So it's    58+360n  with n=any whole number 
                                 (n=0 doesn't work, so it's not 'integer'.  '0' is an integer.)

25 is obviously the correct answer