Question

Find the possible interior angle(s) of an equiangular polygon having the sum of interior angles as ${180}^o.$

• A. ${30}^o$
• B. ${60}^o$
• C. ${120}^o$
• D. ${150}^o$

Answer 1

The correct option is B ${60}^o$

An equiangular polygon is a polygon that has all the interior angles of same measure.

We know that only for a triangle, the sum of interior angles is ${180}^o.$

Let the interior angle be $x.$

$\therefore x+x+x={180}^o$
$\Rightarrow 3x={180}^o$
$\Rightarrow x=\frac{{180}^o}{3}={60}^o$

The required angle is ${60}^o.$