Each interior angle of a regular polygon is 144°. The number

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Each interior angle of a regular polygon is 144°. The number of sides of the polygon is

If the number of sides of the polygon be n, then
As per the given in question ,
Each interior angle of a regular polygon = 144°

	2n - 4		× 90° = 144°
	n

⇒	(2n - 4)5	= 8
	n

⇒ 10n – 20 = 8n
⇒ 2n = 20
⇒ n = 10