Question

what is the measure of each exterior angle of a regular octagon

Answer 1

let the angle be x

x + x + x + x + x + x + x + x = 360°
8x = 360°
x = 360/8
x = 45°


Hence the octagon is a regular polygon so all sides and angles will be equal so the measure of all 8 angles will be 45°

Answer 2

Answer:

Step-by-step explanation:

We know the sum of the extirior angles of any polygon is 360 degrees.

Now a octagon has eight sides that means it has eight interior angles and eight exterior angles.

So, let the value of an exterior angle = x

Then, x*8=360 degree

=> X= 360 degree/8 = 45 degree

That means x= 45 degree.

So the measure of each exterior angle of a regular octagon is 45 degree.