Question

State true or false:

Is it possible to have a regular polygon whose each exterior angle is ${32}^{\circ }$

• A. True
• B. False

Answer 1

The correct option is B False

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

$\text{According to the question}$

$\frac{360}{n}degree={32}^0$

$\Rightarrow n=\frac{360}{32}$

$\Rightarrow n=\frac{45}{4}$

$\text{Which is not possible because number of sides can never be in fraction.}$