Question

Is it possible to have a polygon, whose sum of interior angles is $7$ right angles
Answer: No
State true or false:

• A. True
• B. False

Answer 1

The correct option is A True

A polygon whose sum of interior angles is $7$ right angles = $7\times {90}^o={630}^o$
Sum of all interior angles of a polygon = ${180}^o(n-2)$
Now,
${180}^o(n-2)={630}^o$
$=>n=\frac{7}{2}+2$
$=>n=\frac{11}{2}$
Since, $n$ (number of sides) is not an integer, therefore it is not possible to have a polygon whose sum of interior angles is $7$ right angles.