Question

State true or false:

It is possible to have a polygon whose sum of interior angles is ${320}^{\circ }$.

• A. True
• B. False

Answer 1

The correct option is B False

A polygon whose sum of interior angles is ${320}^o$
Sum of interior angle of Polygon =$180(n-2)$
=> $180(n-2)=320$
=> $n-2=\frac{16}{9}$
=> $n=\frac{25}{9}$
Their is no possibility of a polygon whose sum of interior angles is ${320}^o$ because n must be an integer.