Question

The sum of the interior angles of a regular polygon is 3 times the sum of its exterior angles. Determine the number of sides of a polygon. ​

Answer 1

Answer:

As we know that sum of exterior angles of a polygon is always 360°. And, Sum of interior angles is given 360°*3= 1080°. i.e. n= 8 sides

Step-by-step explanation:

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Answer 2

$\huge \mathcal \colorbox{lightblue}{solution}$

We know that the sum of exterior angles of a polygon

$= {360}^{0}$

Sum of interior angles = (n-2) × 180 degree

As per the given condition,

(n-2) × 180degree = 3 × 360 degree

$= > \: n - 2 = 6$

$\huge \bold \blue{n = 8}$