In a regular polygon if one of its internal angle is greater

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In a regular polygon if one of its internal angle is greater than the external angle by 132°, then the number of sides of the polygon is

1. 14
2. 12
3. 15
4. 16

Correct Option: C

Let Number of sides of regular polygon = n
According to question ,

∴	(2n - 4) × 90°	-	360°	= 132°
	n		n

⇒ 180n – 360 – 360 = 132n
⇒ 180n – 132n = 720
⇒ 48n = 720

⇒ n =	720	= 15
	48