Question

Is it possible to have a polygon whose sum of interior angles is $11$ right angles?

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

Answer 1

The correct option is B No

Given, a polygon whose sum of interior angles is 11 right angles = $11\times {90}^o={990}^o$
Sum of interior angles of a polygon is ${180}^o(n-2)$
Now,
${180}^o(n-2)={990}^o$
$(n-2)=\frac{11}{2}$
$n=\frac{15}{2}$
n = number of sides must be an integer. But here n is not an integer. Therefore it is not possible for a polygon whose sum of interior angles is 11 right angles.