One of the interior angles of a regular polygon is 120°. Find the number of sides of the polygon

Mrnoah

1 year ago

The sum of the interior angles of a polygon is given by:

(n-2) × 180°

where n is the number of sides.

Since it's a regular polygon, all interior angles are equal. Let's call the interior angle 'x':

x = 120°

The sum of the interior angles is:

n × x = (n-2) × 180°

Substitute x = 120°:

n × 120° = (n-2) × 180°

Simplify and solve for n:

120n = 180n - 360

60n = 360

n = 6

So, the polygon has 6 sides, making it a regular hexagon.