What is the measure of an exterior angle of a regular octagon?
(1 point)
A.360°
B.1350
C.60°
D.45°
The measure of an exterior angle of any regular polygon is always 360 divided by the number of sides in the polygon.
Therefore, the measure of an exterior angle of a regular octagon is 360 divided by 8, which is 45°.
So the correct answer is D. 45°
To find the measure of an exterior angle of a regular octagon, we can use the formula:
Measure of each exterior angle = 360° / Number of sides
In this case, the number of sides is 8 since it is a regular octagon.
Calculating the measure of each exterior angle:
Measure of each exterior angle = 360° / 8
Simplifying:
Measure of each exterior angle = 45°
Therefore, the correct answer is D. 45°.
To find the measure of an exterior angle of a regular octagon, we can use the formula:
Exterior angle = 360° / Number of sides
In this case, the regular octagon has 8 sides.
So, the measure of an exterior angle of a regular octagon is:
360° / 8 = 45°
Thus, the correct answer is option D. 45°.