Question

the sum of the interior angle of a polygon is six times the sum of its interior angle find the number of sides ​

Answer 1

Answer:

Step-by-step explanation:

Let the number of sides of the regular polygon be n.

therefore, sum of interior angles=(2n-4)×90°

sum of exterior angles=360°

(2n-4)×90°=6×360°

2n-4=6×360÷90=24

2n=28 and n=14

therefore, the number of sides of the regular polygon =14

Answer 2

Let the number of sides of the regular polygon be n.

therefore, sum of interior angles=(2n-4)×90°

sum of exterior angles=360°

(2n-4)×90°=6×360°

2n-4=6×360÷90=24

2n=28 and n=14

therefore, the number of sides of the regular polygon =14