what is the measure of an exterior angle of a regular octagon
A. 360
B. 135
C. 60
D. 45
C. 45
is it C. 60 or D. 45
Apologies for the confusion. The measure of an exterior angle of a regular octagon is 45 degrees, so the correct answer is D. 45.
To find the measure of an exterior angle of a regular octagon, we can apply the formula:
Measure of each exterior angle = 360 degrees divided by the number of sides in the polygon.
In this case, we have an octagon, which has 8 sides.
Therefore, the measure of each exterior angle in a regular octagon is:
360 degrees / 8 sides = 45 degrees.
So, the answer is D. 45.
To find the measure of an exterior angle of a regular octagon, we need to know a few key concepts.
First, it's important to understand that a regular octagon has 8 sides and 8 angles.
Next, we need to know that the sum of the exterior angles of any polygon, including an octagon, is always 360 degrees.
Finally, we also know that for any regular polygon, the exterior angles are all congruent (or equal).
So, to find the measure of an exterior angle of a regular octagon, we divide the sum of the exterior angles (360 degrees) by the number of exterior angles (8).
Thus, the measure of an exterior angle of a regular octagon is 360 degrees divided by 8, which equals 45 degrees.
Therefore, the correct answer is D. 45 degrees.