M.I Question (1 Viewer)

[Average Boreduser]

How would you all approach this? I got another ss showing the working but I don't completely understand

 

[Average Boreduser]

 

[pikachu975]

How would you all approach this? I got another ss showing the working but I don't completely understand

Not sure how to do it by induction honestly but seems like they used a triangle as an example (which I feel like doesn't cover all polygons...)

Interior angle + exterior angle = 180
Sum of interior angles is (n-2)*180 (idk if this is a high school formula or I got it from uni??) so one interior angle is (n-2)*180/n. One exterior angle is then 180 - 180(n-2)/n using the above formula, so the sum of exterior angles is 180n - 180(n-2) = 360