Class 8 CH.3 ex 3.2 Q.no. 6

Q6 :
(a) What is the minimum interior angle possible for a regular polygon
(b) What is the maximum exterior angle possible for a regular polygon

Answer :

Consider a regular polygon having the

lowest possible number of sides (i.e., an equilateral triangle).

The exterior angle of this triangle will be the maximum exterior angle possible for any regular polygon.

Exterior angle of an equilateral triangle
Hence,     360/3= 120

maximum possible measure of exterior angle for any polygon is 120 º. Also,

we know that an exterior angle and an interior angle are always in a linear pair.
Hence, minimum interior angle = 180 º - 120° = 60 º