Final answer:
The value of each exterior angle v in a regular octagon is 45 degrees, calculated by dividing the total sum of exterior angles, 360 degrees, by the number of sides in the octagon.
Step-by-step explanation:
To find the value of the exterior angle v of a regular octagon, we use the fact that the sum of exterior angles of any polygon is 360 degrees. Since a regular octagon has 8 sides, and all of its exterior angles are equal, we divide 360 degrees by the number of sides to find the measure of each exterior angle.
Exterior angle of a regular octagon = 360 degrees / number of sides
Exterior angle = 360 degrees / 8
Exterior angle = 45 degrees
Therefore, the value of each exterior angle v in a regular octagon is 45 degrees.