Question

To the nearest degree, what is the measure of each exterior angle of a regular octagon? O A. 45° O B. 30° O C. 51o O D. 60°

Answer 1

Answer:

The measure of each exterior angle of a regular octagon is A. 45°

Step-by-step explanation:

To find the solution to the problem above, we will follow the steps below;

To find the exterior angle of a regular polygon we can simply divide 360 by the number of sides of that polygon or we can simply use the formula below

Each Exterior angle = 360/n

where n is the number of sides

an octagon is an eight-sided polygon. This implies that the number of side =8

Each Exterior angle = 360/n

                                  =360/8

                                  =45°

The measure of each exterior angle of a regular octagon is 45°

Answer 2

Because an octagon consists of eigth sides/edges, and 360 degrees is the total sum of the angles, we simply divide 360 by 8:

360/8 = 45.

Option A, 45 degrees