193k views
1 vote
If a regular polygon is 2340°, then how many sides does it have?

2 Answers

4 votes

the equation to find the number of sides is (n-2)x 180 = total number of degrees.

since you know the shape has a total of 2340 degrees, plug it into the equation. watch my steps:

(n-2)180= 2340

n-2=13

n=15

HOPE I HELPED (:


User VSadov
by
6.5k points
4 votes

FORMULA: (n-2)180=sum of the interior angles.

Where n=number of angles of a regular polygon.

We know that the sum of the interior angles is 2340

so

(n-2)180=2340 divide both sides by 180 and get

n-2=13 add 2 to both sides and get

n=15 Therefore, this polygon has 15 sides

User Alejandromp
by
7.0k points