Question

Find the number of sides of a regular polygon whose each exterior angle is twice of it's interior angle

Answer 1

Answer:

7

Step-by-step explanation:

the regular polygons has 7

Answer 2

Answer:

3 is the right answer

Step-by-step explanation:

Let the interior angle be x

so the exterior angle will be = 2x

the sum of exterior angle and interior angle is always = 180 degrees

= x + 2x = 180

= 3x = 180

= x = 60 degrees

therefore the interior angle is = 60 degrees

and xterior angle will be = 120 degrees

the sum of exterior angle is always = 360 degrees

the sides of polygon is = 360/exterior angle

= 360/120 = 3

therefore the number of sides of the polygon is = 3

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