Question

Is it possible to have a polygon whose sum of interior angles is ${540}^{\circ }$?

• A. Yes
• B. No
• C. Ambiguous
• D. Data insufficient

Answer 1

The correct option is A Yes

Given, a polygon whose sum of interior angles is ${540}^o$
Sum of interior angles of a polygon is ${180}^o(n-2)$
Now,
${180}^o(n-2)={540}^o$
$(n-2)=3$
$n=5$
n = number of sides must be an integer. There exist a polygon whose sum of interior angles is ${540}^o$