Question

A stop sign in the shape of a regular octagon is

resting on a brick wall, as shown in the
accompanying diagram.
STOP
X
What is the measure of angle x?

Answer 1

45°

Explanation:

First, find the measure of each interior angle of the octagon.

Measure of each interior angle of the octagon =
`((n - 2)180)/(n)`

Where, n = 8.

Plug in the value of n into the formula

`= ((8 - 2)180)/(8)`

`= ((6)180)/(8)`

`= (1,080)/(8) = 135`

x = 180 - 135 (straight line theorem.)

x = 45°