Question

What is the minimum interior angle possible for a regular polygon? Why?

Answer 1

The equilateral triangle is a regular polygon with the least value for sum of all interior angles. So, it also has the minimum interior angle possible for a regular polygon.
Sum of all the angles of a triangle = ${180}^{\circ }$
Considering each angle as $x$,
$x+x+x={180}^{\circ }$
$\Rightarrow 3x={180}^{\circ }$
$\Rightarrow x={60}^{\circ }$