SAT Mathematics Practice Test 2

The relationship between n and A is given by the equation nA=360. Since n is the number of sides of a polygon, n must be a positive integer, and so nA=360 can be rewritten as A=

360

n

If the value of A is greater tha 50,it follows that

360

n

>50 is true statement.Thus 50n<360 or n<

360

50

=7.2.Since n must be an integer,the greatest possible value of n is 7.
Choices A and B are incorrect.These are possible values for n, the number of sides of a regular polygon, if A>50,but neither is the greatest possible value of n. Choice D is incorrect. If A<50, then n=8 is the least possible value of n, the number of sides of a regular polygon. However, the question asks for the greatest possible value of n if A>50, which is n=7.