Question

Is it possible to have a polygon whose sum of interior angle is 7 right angles?

• A. Yes
• B. No

Answer 1

The correct option is B

No

Sum of interior angles $=(n-2)\times {180}^{\circ }$

$7\left(\text{/}90\right)=(n-2)\times \text{/}{180}^2$

7 =2n-4

11=2n

$n=\frac{11}{2}$

=5.5 (which is not a whole number)

As number of sides is not a whole number, it is not possible to have a polygon whose sum of interior angle is 7 right angles.