Question

Is it possible to have a polygon whose each interior angle is 105°?

Answer 1

Given each interior angle = 105°
So, each exterior angle = 180° - 105° = 75°
Thus, the number of sides of the polygon

= `(360°)/"Each exterior angle"`

= `(360°)/(75°)`

= `4(4)/(5)`

which is not a natural number
Therefore, no polygon is possible whose each interior angle is 105°.