Question

The sum of exterior angle of a regular polygon is 2 times than the sum of its interior angle find the number of sides in this polygon

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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

Step-by-step explanation:

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Answer 2

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Step-by-step explanation:

The Sum Of The Interior Of A Regular Polygon=(2n-4)×90 Where The 'n' is number of terms

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=8+4

2n=12

n=12/2

n=6

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