Answer:
°
Step-by-step explanation:
The angle shown in the figure is known as an external angle.
Also, <u>in a regular polygon (like the regular octagon) the sum of all the exterior angles is the same regardless of the number of sides of the figure</u>:
°
And to find the measure of a single external angle (such as the angle shown in the figure) we must <u>divide 360 ° by the number of sides n:</u>
and for the regular octagon, since it has 8 sides:
so the value of x is:
°
the measure of angle x is 45° which is the second option
