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

Explanation

The interior angle increases and exterior angle decreases as the number of sides increases for a regular polygon.


Therefore, minimum number of sides possible for a polygon with minimum interior angle and maximum exterior angle is an equilateral triangle i.e., 3.


(a) Minimum interior angle possible for the regular polygon = Interior angle of equilateral triangle = `60^0`


(b) Maximum exterior angle possible for a regular polygon = Exterior angle of equilateral triangle = `180^0-60^0 = 120^0`