Recall that a regular octagon is an image with eight equal sides and equal internal angles.
So, considering that the exterior angles of any polygon should add to 360 degrees, the addition of the 8 equal exterior angles of the octogon should add to 360.
We are given the expression for each exterior angle as: (11 x + 1)
then, 8 times this should render 360 degrees, and we write an equation that gives such relationship as:
8 * (11 x + 1) = 360
use distributive property to eliminate the parenthesis
88 x + 8 = 360
subtract 8 from both sides:
88 x = 360 - 8
88 x = 352
x = 352 / 88
x = 4
Therefore please type 4 in the given box.
