Question

Find the measure of each angle of a regular octagon.​

Answer 1

Answer:

method-1

A octagon is a polygon with 8 sides

The sum of interior angles of any polygon is

180(n-2)

180(8-2)

180*6

1080

so,

x+x+x+x+x+x+x+x=1080

8x=1080

x=1080/8

x=135 degrees

method-2

Here, octagon have 8 side..

so, each angle = (8-2)×180°/8 = 1080/8 = 135°