Question

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

• A. Yes
• B. No

Answer 1

The correct option is B

No

Sum of interior angles $=(2n-4)\times {90}^{\circ }$

$=(2n-4)\times {90}^{\circ }$ = 7 x 90°

2n - 4 = 7

2n = 11

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

=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.