A regular polygon has interior angles of 120 degrees. How many siddes does the polygon have?

interior angle = 120

so exterior angle = 180-120 = 60
all the way around is 360
360/60 = 6 or hexagon

To determine the number of sides of a regular polygon with interior angles of 120 degrees, we can use the formula for the sum of interior angles in a polygon.

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

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

where 'n' represents the number of sides of the polygon.

Let's plug in the given information:

120 degrees = (n - 2) × 180 degrees

To solve for 'n', we can rearrange the equation:

120 degrees / 180 degrees = n - 2

Dividing both sides by 180 degrees:

0.67 = n - 2

Now, we can isolate 'n' by adding 2 to both sides:

0.67 + 2 = n

n ≈ 2.67

Since a polygon must have a whole number of sides, we round n to the nearest whole number to get the answer:

The polygon has approximately 3 sides.

Therefore, the regular polygon with interior angles of 120 degrees has 3 sides.