Question

what is the minimum interior angle possible for a regular polygon and why

Answer 1

Hello buddy

The maximum exterior angle possible for a regular polygon is 120. And minimum interior angle possible for a regular polygon is 60. which are both in cases of equilateral triangle.

maximum possible measure of exterior angle for any polygon is 120º. Also, we know that an exterior angle and an interior angle are always in a linear pair.
Hence, minimum interior angle = 180º − 120° = 60º

Hope it helps you buddy

Answer 2

Answer:

a regular polygon having least number of sides is an equilateral triangle

sum of all sides of a equilateral triangle = 180

so, X + X + X = 180°

3 X = 180°

x = 180°/3

x = 60°