Question

Is it possible to have a polygon whose sum of interior angles is 56 right angles?

• A. Yes
• B. No

Answer 1

The correct option is A

Yes

Let the number of sides =n

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

Therefore, sum of interior angles of a polygon $=(n-2)\times {180}^{\circ }$

$\text{/}{56}^{28}\left(\text{/}{90}^1\right)=(n-2)\times \text{/}{180}^2$

28=n-2

n=30 (a whole numbers)

Hence it is possible to have a polygon whose sum of interior angles is 56 right angles as the number of sides (n)is a whole number.