Question

State true or false:

Is it possible to have a regular polygon whose each exterior angle is ${20}^{\circ }$

• A. True
• B. False

Answer 1

The correct option is A True

$\text{Each exterior angle of regular polygon of n sides is given by}\frac{360}{n}degree$

$\text{According to question}$

$\frac{360}{n}degree={20}^0$

$\Rightarrow n=\frac{360}{20}$

$\Rightarrow n=18$

${\text{Clearly there is a polygon of sides 18 whose each exterior angle is 20}}^0$