since 10*468 = 13*360, if we can find all the values of n < 10, then just adding 10 to those values will produce all the possibilities.
Finding n<10 should not take too long.
For example n=1 works, since 468 = 108(mod 360)
An angle measuring (468n)° is in standard position. For which value of n will the terminal side fall along the negative portion of the x-axis
2 answers
n=5