Answer:
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
