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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. 7
B. 6
C. 8
D. 5

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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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