GRE mini exams #16 or #15 quiz quant doubt


I have doubt regarding this one. As you can see from the image the question is asking for non-integer value of interior sides so I used the formula (x-2)180/x then I i found out the prime factors of 180 2^23^2*5 then i decided to put x as any prime number which is not the factor of 180 which led me to choose D. Am I missing something? Please help.

Hint: “every”. In other words, what is x such that any regular polygon with y sides, where y \geq x has non-integer interior angles?

ohh okkk thank you!!