SSC CHSL Model Paper 16

Question : 61 of 100

Marks: +1, -0

The difference between the interior and exterior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is

Solution:

Let the no of sides of the polygon be n.
Interior angle

= 1 8 0 °×{n-2}/2

and exterior angle

=360°/n

180×{n-2}/n-360/n=150

180n - 3 6 0 - 3 6 0 = 150n

30n = 720°

n = 24

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