Find out the difference between sum of interior angles of regular hexagon and regular decagon.
Find out the difference between sum of interior angles of regular hexagon and regular decagon. Correct Answer 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°
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Feb 20, 2025