I diden`t study Geomatry at secondary school,and I always remember my brother doing it for homework at looking at all these lines and letters was so confusing.Now I almost understand it.I drifted off while waching the video as i`m drinking and a bit drunk lol
If you identify early on that the sum of the interior angles is simply 3 * 180, the problem becomes 5*180 - 3*180 = 2 * 180 = 360 without needing to break up the interior angles into smaller parts.
The sum of the exterior (supplementary) angles of any convex polygon will always be 360°, because this total is equivalent to a full, circular turn around the figure.
In my experience as a learner and as a tutor it's all too easy to get mired in the minutiae of moving the letters & numbers around and ultimately to become confused by the whole process.
In the bigger picture, general principles are as important as the details of any particular problem.
I heard you mention it briefly as an aside at 8:14, but you really should make a bigger deal out of the fact that the sum of the interior angles of any pentagon is equal to 540°. This video seems like the perfect opportunity to derive the general formula for the sum of a polygon's angles (dividing up into triangles is a great way to explain it).
Also, it might be helpful to step back and look at the problem from another perspective...
Thanks for the angle videos, They're awesome, and very helpful. Also can you do a section on polynomial functions because the the ones you currently have aren't that directly focused on beginners polynomial function.
Veru interesting proof but don't all polygons have the total exterior angle of 360?
montazarmontazarmont 1 week ago
Brilliant explonation.
MrMGD92 1 month ago in playlist Geometry
I diden`t study Geomatry at secondary school,and I always remember my brother doing it for homework at looking at all these lines and letters was so confusing.Now I almost understand it.I drifted off while waching the video as i`m drinking and a bit drunk lol
MrMGD92 1 month ago in playlist Geometry
KHAAAAAAAAAAAAAAAAN!!!
THEROCKETSUMMERL0VER 5 months ago
If you identify early on that the sum of the interior angles is simply 3 * 180, the problem becomes 5*180 - 3*180 = 2 * 180 = 360 without needing to break up the interior angles into smaller parts.
DehXable 5 months ago 6
The sum of the exterior (supplementary) angles of any convex polygon will always be 360°, because this total is equivalent to a full, circular turn around the figure.
In my experience as a learner and as a tutor it's all too easy to get mired in the minutiae of moving the letters & numbers around and ultimately to become confused by the whole process.
In the bigger picture, general principles are as important as the details of any particular problem.
Thanks for all you have given.
youngnam 5 months ago 3
Very interesting problem! keep up the good work!!! :)
shadowdude217 5 months ago
I heard you mention it briefly as an aside at 8:14, but you really should make a bigger deal out of the fact that the sum of the interior angles of any pentagon is equal to 540°. This video seems like the perfect opportunity to derive the general formula for the sum of a polygon's angles (dividing up into triangles is a great way to explain it).
Also, it might be helpful to step back and look at the problem from another perspective...
youngnam 5 months ago
@youngnam ... and now that i've seen your next video, my apologies. carry on! (^_^)
youngnam 5 months ago
Thanks for the angle videos, They're awesome, and very helpful. Also can you do a section on polynomial functions because the the ones you currently have aren't that directly focused on beginners polynomial function.
ggmm117 5 months ago