Question

if the sum of all interior angles of a regular polygon is twice the sum of all its exterior angles then polygon is​

Answer 1

Answer:

• The sum of the interiorof a regular polygon=(2n-4)×90° (where n= number of sides)
• Sum of exterior angle of a regular polygon=360°
• According to question
• (2n-4)×90°=2×360°
• 2n-4 =(2×360°)/ 90°
• 2n-4= 2×4
• 2n-4=8
• 2n=8+4
• 2n=12
• n=12/2=6
• Hence the polygon has 6 sides
• It means it is a regular hexagon.

Answer 2

Step-by-step explanation:

by thus we can conclude that it is regular hexagon

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