Question

in regular polygon one interior angle is 120 degrees then the number of sides is​

Answer 1

Step-by-step explanation:

measure of its exterior angle 180-120= 60

and we know every polygon has sum of its exterior angles 360

and every polygon has as much side as no. of angles

So,

360/60= 6

so it has 6 sides

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Answer 2

Interior angle = 120 degee

( n -2 ) ×180 degee = 120/n

n = ( n - 2 ) × 180 / 120

n = n - 2 × 2 / 3

3n = n-2×2

3n = n -4

3n - n = 4

2n = 4

n = 4 / 2

n = 2 sides