Question

Is it possible to have a polygon whose each interior angle is 124°?

Answer 1

Given each interior angle = 124°
So, each exterior angle = 180° - 124° = 56°
Thus, the number of sides of the polygon

= `(360°)/"Each exterior angle"`

= `(360°)/(56°)`

= `6(3)/(7)`

which is not a natural number
Therefore, no polygon is possible whose each interior angle is 124°.