Problem: Given two equiangular polygons and with different numbers of sides; each angle of is degrees and each angle of is degrees, where is an integer greater than . The number of possibilities for the pair is:
Answer Choices:
A.
B. Finite, but more than two
C.
D.
E.
Solution:
The smallest value for is If and if . Since each angle of a (convex) polygon must be less than , the second possibility is ruled out. It follows that there is only one permissible value for , and, hence, only one for the pair , namely .