SSC MTS Model Paper 6

Question : 28 of 150

Marks: +1, -0

The difference between the interior and exterior angles of a regular polygon is 60°. The number of sides in the polygon is:

Solution:

Here interior angle − exterior angle = 60°

{ ( n - 2 ) \times 180 }/ { n } - { 360 } /{ n } = 60

⇒

1/n

[(n − 2) × 180 − 360] = 60
⇒

1/n

(180n − 360 − 360) = 60
⇒

1/n

(180n − 720) = 60 n
⇒ 180n −720 = 60n ⇒ 120n = 720
720 ⇒ n =

720/120

= 6

Go to Question:

Prev Question

Next Question