What are the interior angles of a regular octagon?

To find the measure of the interior angles of a regular octagon, you can use the formula for the measure of each interior angle of a regular polygon, which is given by:

[ \text{Interior Angle} = \frac{(n - 2) \times 180}{n}

]

where ( n ) is the number of sides in the polygon. For an octagon, ( n = 8 ):

[ \text{Interior Angle} = \frac{(8 - 2) \times 180}{8} = \frac{6 \times 180}{8} = \frac{1080}{8} = 135 \text{ degrees} ]

This calculation shows that each interior angle of a regular octagon measures 135 degrees. Thus, option B is the correct choice because it accurately reflects this calculation. Each angle in a regular octagon is equal, which is a key characteristic of regular polygons, further supporting the correctness of this answer.