Each interior angle = 165°
∴ Each exterior angle = 180° – 165° = 15°
Let the number of sides be n.
Sum of all exterior angles of polygon = 360°
∴ Value of each angle = 360°/n
According to question = 360°/n = 15°
⇒ n = 360°/15° = 24
Therefore, the number of sides be 24
