Correct Answer - Option 1 : 6
Given:
The sum of interior angles of a polygon is 720°
Formula used:
Sum of interior angles of a regular polygon of side 'n' = (n - 2) × 180°
Calculation:
Sum of measures of all the interior angles = 720°
Let the polygon has 'n' sides
⇒ (n - 2) × 180° = 720°
⇒ n - 2 = 720°/180° = 4
⇒ n = 4 + 2 = 6
∴ The given polygon has 6 sides.