To find the measure of each exterior angle of a regular octagon, let's follow these steps:
1. Identify the Number of Sides in the Polygon:
A regular octagon has 8 sides.
2. Understand the Formula for the Exterior Angle:
The measure of each exterior angle of a regular polygon can be found using the formula:
[tex]\[
\text{Exterior Angle} = \frac{360^\circ}{\text{Number of Sides}}
\][/tex]
3. Apply the Formula:
Given that the number of sides in an octagon is 8, we can substitute this into the formula:
[tex]\[
\text{Exterior Angle} = \frac{360^\circ}{8}
\][/tex]
4. Calculate the Exact Measure:
[tex]\[
\text{Exterior Angle} = 45^\circ
\][/tex]
5. Round to the Nearest Degree:
In this case, the measure is exactly [tex]\(45^\circ\)[/tex], so it does not require any rounding.
Hence, the measure of each exterior angle of a regular octagon, to the nearest degree, is:
[tex]\[B. 45^\circ\][/tex]
