SSC CPO SI and ASI 2011 Paper

Question : 130 of 200

Marks: +1, -0

Each interior angle of a regular polygon is 18°more than eight times an exterior angle. The number of sides of the polygon is

Solution:

(3) Let the number of sides of the regular polygon be p, then according to the question,

{(2 p-4)}/{p} × 90=8 ×{4 × 90}/{p}+18

180p – 360 = 2880 + 18p, 162p = 3240 and hence p = 20.

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