(a)Exterior angle = 22°
Let the number of sides = n.
In a regular polygon, Sum of the exterior angles = 360°
22° × n = 360°
→ n = 360°/22°
→ n = 16.36
Since n cannot be in decimals as it represents the number of sides of a regular polygon. Therefore, it's not possible to have such a polygon.
(b)Interior angle = 22°
Exterior angle = 180° - 22° = 158°
Let number of sides = n
Since, we have 158° × n = 360°
→ n = 360°/158°
→ n = 2.27
Since n can't be in decimals as it represents the number of sides of the given regular polygon. Therefore, it is not possible to have such a polygon.