Question

Is it possible to have a polygon whose sum of interior angles is ${320}^{\circ }$?

• A. Yes
• B. No
• C. Ambiguous
• D. Data not sufficient

Answer 1

The correct option is B No

Given, a polygon whose sum of interior angles is ${320}^o$
Sum of interior angles of a polygon is = ${180}^o(n-2)$
${180}^o(n-2)={320}^o$
$n-2=\frac{16}{9}$
$n=\frac{25}{9}$
Since, $n$ (number of sides) is not an integer, therefore it is not possible a polygon whose sum of interior angles is ${320}^o$