Question

If an interior angle of a regular polygon measures 120°, how many sides does the polygon have?

Answer 1

6 sides; Hexagon

Explanation:

The formula to find the interior angle of a polygon is `(180(n-2))/n` (n being the number of sides of the polygon).

Since we know the interior angle of the polygon which is 120, therefore we can produce this equation, `(180(n-2))/n=120`

From here we use algebra to solve n.

`180n-360=120n`
`60n=360`
`n=6`

`therefore` Polygon has 6 sides