Question

It is possible for a polygon to have sum of interior angles equal to 9 right angles.

• A. True
• B. False

Answer 1

Answer: (B)

Let the number of sides be n

$\therefore$ The sum of its interior angles $=(2n-4)\times {90}^{\circ }$

$(2n-4)\times {90}^{\circ }=9\times {90}^{\circ }$

$\Rightarrow 2n-4=9$

$\Rightarrow 2n=9+4$

$\Rightarrow 2n=13$

$\Rightarrow n=6.5$

It is not possible to have a polygon whose sum of interior angles is equal to 9 right angles.