Determine, in degrees, the measure of each interior angle of a regular octagon

Please show all work on how you got your answer

Respuesta :

Answer:

Each interior angle = 135 degrees,

Step-by-step explanation:

The exterior angles of all convex polygons add up to 360 degrees.

So for a regular octagon each exterior angle = 360 / 8

= 45 degrees.

Therefore each interior angle = 180 - 45 = 135 degrees,