Question

Each interior angle of a regular polygon is 120 degrees larger than the exterior angle.How many sides has the polygon?

Answer 1

Each interior angle of a regular polygon is 120 degrees greater than each exterior angle. How many sides are there in the polygon? Since the sum of the measures of all the exterior angles of a polygon = 360, the polygon has 360/30 = 12 sides.

Answer 2

Answer:

12 sides

Step-by-step explanation:

Each interior angle of any polygon = 180-exterior angle(360÷n)

Each exterior angle of any polygon = 360÷ n

As per question:

180 - ( 360÷ n)= 120 + (360÷n)

180 - 120 = (360+360)÷n (as denominators are same)

60 n = 720

n( number of sides) = 720 ÷ 6

= 12