Question

State true or false:

Is it possible to have a polygon whose sum of interior angles is $16$ right angles.

• A. True
• B. False

Answer 1

The correct option is A True

A polygon whose sum of interior angles is 16 right angles = $16\times 90=1440$

Sum of interior angle of a polygon = $180(n-2)$

=> $180(n-2)=1440$

=> $n-2=8$

=> $n=10$

Yes, there exist a polygon of $10$ sides whose sum of interior angles is $16$ right angles because n must be an integer.