Answer:
Step-by-step explanation:
Remark
This is actually a six sided figure. That really doesn't matter, but it's interesting to observe. It goes a long way to explaining what is going on. The trick to exterior angles is that as long as the figure is convex ( a closed figure whose lines do not cross), the exterior angles add to 360.
Once you know that, then you know that this figure must have 6 exterior angles and no matter how they are made, their total is 360.
Equation
n + n + n + n + 90 + 90 = 360 Combine like terms.
Solution
4n + 180 = 360 Subtract 180
4n = 360 - 180
4n = 180 Divide both sides by 4
4n/4 = 180/4
n = 45
Note
Not a simple problem. Thanks for posting
