Question

(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?

Answer 1

For a regular polygon, as the number of sides increase, interior angle also increases and exterior angle decreases.

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

(a) Interior angle of equilateral triangle is ${60}^0$, which is the minimum interior angle possible for the regular polygon.

(b) Exterior angle of an equilateral triangle is ${180}^0-{60}^0={120}^0$, which is the maximum exterior angle possible for the regular polygon.