Question

is it possible to have a regular polygon each of whose interior angle is 45 degree

Answer 1

Yes the interior angle is45 degree

Answer 2

Answer:

No, it is not possible to have a regular polygon each of whose interior angle is 45°

Step-by-step explanation:

Each interior angle= 45°

∴ each exterior angle = ( 180 - 45 ) = 135°

Let the number of sides of the polygon be n.

then 135*n = 360 [ ∵ some sum of all exterior ∠s is 360° ]

=> n = $\frac{360}{135} = \frac{8}{3} = 2 \frac{2}{3}$ ,which is not a whole number

So, it is not possible to have a regular polygon each of whose interior angles is 45°.