If an interior of a regular polygon is 170°, then the number

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If an interior of a regular polygon is 170°, then the number of sides of the polygon is

Here , An interior of a regular polygon = 170°
we know that ,

Each interior angle of regular polygon =		2n - 4		× 90°
		n

where, n = number of sides

∴		2n - 4		× 90° = 170°
		n

⇒	(2n - 4)	× 9 = 17
	n

⇒ 18n – 36 = 17n
⇒ 18n – 17n = 36
⇒ n = 36