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The sum of all interior angles of a polygon is 1440°. The number of sides of the polygon is
1. 8
2. 9
3. 10
4. 12

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Correct Answer - Option 3 : 10

Given:

The Sum of all interior angles of a polygon is 1400°

Formula used:

Sum of interior angles of a regular polygon of side 'n' = (n - 2) × 180° 

Calculation:

Let number of sides of the polygon is n

(n - 2) × 180 = 1440

⇒ n - 2 = 8

⇒ n = 10

∴ number of sides of the polygon is 10

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