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If the sum of the interior angles of a regular polygon be 1080° , the number of the sides of the polygon is:
1. 12
2. 10
3. 6
4. 8

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Correct Answer - Option 4 : 8

Given :

Sum of interior angle = 1080

Formula:

Sum of interior angles = (n − 2) × 180

Calculations:

According to question,

Sum of interior angles = (n − 2) × 180

⇒ (n − 2) × 180 = 1080

⇒ (n − 2) = 1080/ 180

⇒ (n − 2) = 6

⇒n = 6 + 2 = 8

No. of sides of polygon is n = 8

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