Question

how many sides does a regular polygon have if the measure of an angle is 120°
​

Answer 1

Answer:

6

Step-by-step explanation:

6 sides does a regular polygon have if the measure of an angle is 120°

Answer 2

Answer:

6

Step-by-Step explaination:

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.

180

n

−

360

=

120

n

60

n

=

360

n

=

6

∴

Polygon has 6 sides