The sum of interior angles of a regular polygon is 1080.Find the size of each exterior angle

45

Step-by-step explanation:

Calculation to Find the size of each exterior angle

First step is to calculate the sum of interior angles of a polygon using this formula

Sum of interior angles of a polygon =S=(n-2)*180

Let plug in the formula

Sum of interior angles of a polygon=1080=(n-2)*180

Cross multiply

1080/180=n-2

6=n-2

Add 2 to both sides

6+2=n-2+2

n=8

Now let Find the size of each exterior angle using this formula

Size of each exterior angle=360/n

Where,

n represent numbers of sides of the polygon

Let plug in the formula

Size of each exterior angle=360/8

Size of each exterior angle=45

Therefore the size of each exterior angle will be 45

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above