A regular polygon has N sides where `N lt 10`. Each of its interior an – InterviewSolution

1.	A regular polygon has N sides where `N lt 10`. Each of its interior angles is an integer in degrees. How many such polygons are possible ?A. 7B. 6C. 8D. 5
Answer» Correct Answer - B Sum of the interior angles `=[180(N-2)]^(@)`. Each interior angle`=[(180(N-2))/(N)]`. For this to be an integer, N must divide `180(N-2)` exactly. `N lt 10` `:.`N can be 3 or 4 or 5 or 6 or 8 or 9. `:.` The polygon ahs 6 possibilities. Hence, the correct option is (b).

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