Correct Answer - Option 3 : 720°
Given :
There are two regular polygon respectively hexagon and decagon.
Number of sides in hexagon = 6
Number of sides in Decagon = 10
Formula used :
Sum of all interior angles of a polygon = (n - 2)× 180° (where n is the number of sides)
Calculations :
Sum of interior angles in hexagon = (n - 2) × 180° = 4 × 180° = 720°
Sum of interior angles in Decagon = (n - 2) × 180° = 8 × 180° = 1440°
The difference of interior angles for hexagon and decagon = 1440° - 720°
The difference of interior angles for hexagon and decagon = 720°
∴ The difference of interior angles of decagon and hexagon is 720°