SSC CHSL Model Paper 10

Question : 71 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

Validate

Solution:

Interior angle – Exterior angle = 150 …(i)
Interior angle + Exterior angle = 180 …(ii)
From Eq. (i) and (ii), we get:
Interior angle = 165°
Exterior angle = 15°
So, number of sides

=360/{\Exterior \angle}

=360/15 =24

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