Interior and Exterior angles of polygons
In this video I will take you through everything you need to know in order to answer basic questions about the angles of polygons. I will be focusing on convex regular polygons in this video, though everything I say also applies to irregular convex polygons. We'll look at how to find the interior and exterior angles of polygons, as well as how they are connected with the number of sides in the polygon.
If you enjoy this video, please like, subscribe and share! Also, be sure to check out my math raps #MrAMathRap: drive.google.com/file/d/0B0x5...
You can download a pdf of my notes here: drive.google.com/file/d/0B0x5...
Пікірлер: 529
Using the car driving as an example .... Isn't the sum of the interior angles always 360 also? I mean the car ends up 360 degrees in the same direction. Confused
@RealMikeDobbs
4 жыл бұрын
That's a great question! The car example still works for interior angles, but it's a little tricky to explain in words. I made you a video: kzread.info/dash/bejne/e2aFmdmMYdqWcrA.html
@footballfreak2593
3 жыл бұрын
All exterior angles equal to 360
@mamafatah2363
3 жыл бұрын
I agree 👍😊
@RealMikeDobbs
3 жыл бұрын
Well said- I didn’t have the energy to try to write it out so I made the video linked above 😀
Dude you're a livesaver. Tysm my exam is tom and i totally got the hang of the Polygon topic. You have no idea how much this helps people.
@RealMikeDobbs
4 жыл бұрын
I'm so glad- thanks for sharing : )
@yonettecrawford2974
3 жыл бұрын
@@RealMikeDobbs I understand this video
@jazzy7938
3 жыл бұрын
Same lol I didn’t understand it that well until now
I know that it's been years since you posted this, but from a kid stuck in quarantine with no teachers or students around to help, thank you very much. Our teachers aren't able to keep up with the influx of questions from students and they can only get to whoever they have time for. Videos like this are lifesavers and they are the sole reason I have an A in my classes right now. Again, from the bottom of my heart, THANK YOU.
@RealMikeDobbs
3 жыл бұрын
Hi Gia- thanks so much for letting me know this helped you out. These are tough times for all of us, so hang in there. I have many other geometry videos on the channel so look around, you may find something else that helps you 👍
@giamendonca9048
3 жыл бұрын
@@RealMikeDobbs I have watched quite a few :) Thank you
I learned more from you than I did from my actual teacher!
@RealMikeDobbs
3 жыл бұрын
Glad to hear it helped you out! 👍
Ur really teach in a way where this will stay in my head forever now thanks👍🏽
@RealMikeDobbs
5 жыл бұрын
Best comment I could ask for- thank you!
i was busy daydreaming in class so i guess i had to learn this either way {thx very much}
@queennagma6643
4 жыл бұрын
U mean phone in class
If only all teachers made learning easier like you, cheers
hey.. I know it has been 3 years since you uploaded but you won't believe how much you were able to make me understand thank you so much for the video :)
@RealMikeDobbs
3 жыл бұрын
Haha, thanks for letting me know! Yeah, this is a really popular video, people really seem to like it. I have many more vids on the channel too, have a look around, you may find something else that helps you. Here's my Geometry Playlist: kzread.info/head/PLvBeH0oPsOMWNR9zd-9YUYTPYUMsKR4fO
This helps me so much with my online geometry class!! Thank you, you are a great teacher.
@RealMikeDobbs
4 жыл бұрын
You're very welcome Lucy- I'm so glad it helped you out 😄👍
Thank you so much. I wasn’t understanding this in my class. Now I get it
I like the way of the tutorial not only solving the problem with the formula, but also with the background behind. Thank you!
@RealMikeDobbs
Жыл бұрын
Thanks so much! I think it's so helpful to understand, rather than try to memorize everything. I'm glad you found it helpful 😄
Thank you so much! Like I've watched so many other videos and still didn't get a thing but luckily I found this and now I get it. Thank you no words can describe how happy I am
@RealMikeDobbs
3 жыл бұрын
Wow- thank YOU so much for taking the time to write such a detailed comment. These really make my day! It’s so great to know that this was able to help you out so much. Thanks for watching! 😀
Thanks now I understand polygons I hope u become a popular KZreadr in future thank you and have a nice day
@RealMikeDobbs
5 жыл бұрын
Thank you so much! I'm working on it : ) Be sure to check out my #MrAMathRaps too
You're one of the best teachers out there for sure!
@RealMikeDobbs
5 жыл бұрын
Thanks so much Nova : )
Your replying on comments on your 4 year old video respect has been granted upon you by me
@RealMikeDobbs
2 жыл бұрын
Why thank you, much appreciated 😄 I love hearing from people who get value from my vids. Thanks for watching 👍
It was a very helpful video, now I don't have to stress about this topic.
Thank you so much. I had trouble answering a math question, but this video helped me out a lot. And once again, thank you!
@RealMikeDobbs
3 жыл бұрын
Thank you! That's great to hear, so glad it helped 😄
i already knew the concepts but i thought i should still study for the test and holy U NAILED ITi understand this much more better
@RealMikeDobbs
3 жыл бұрын
Wow, that's great! Thank you so much 😄
you made it a lot better for my son to learn thank you so much for that :D
Wow you made it super simple sir. Thanks alot!!
Arguably the best and most intuitive explanation of this topic. Thank you very much !
@RealMikeDobbs
Жыл бұрын
Oh wow- thanks for the wonderful feedback. So glad you enjoyed it 😀
Thanks for the video it was so helpful you summed up everything
BRO GOD BLESS YOU ! I have a math quiz tm and i missed one single day and i was lost for the rest of the week but now i think im ready for this shit !
I really like this lesson. A lot of very good information & a magic trick at 15:15 to boot. Who could ask for more? Not me.
@RealMikeDobbs
2 жыл бұрын
🤣🤣🤣 That’s the nicest way anyone has ever described a mistake of mine. So glad you enjoyed the video- thanks for letting me know 😀
Thank goodness i found your channel, Finally understood polygons
@RealMikeDobbs
4 жыл бұрын
That's awesome- be sure to subscribe and let me know if there's anything you'd like help with.
Loved the video! Learned a lot.. Thank you very much...
Thxx that rlly helped with my maths revision. ⭐⭐😊
that helped me so much at first I was iq level 0 in this lesson now I am over 9000
Man you nailed it, the car explanation though
@RealMikeDobbs
3 жыл бұрын
Thanks! Did you like the car explanation, or did you not find that part helpful?
This helped me a lot! I have a very hard exam covering a lot of geometry and algebra topics, you have no clue how much you helped ❤
@RealMikeDobbs
3 жыл бұрын
Thank you so much for letting me know. So glad to know you found it helpful. Good luck on your exam 👍😀
explained this lesson better than my college teacher, much appreciated
@RealMikeDobbs
8 ай бұрын
Thanks so much! Glad it helped 😀
Thank you!! You're the best, I was learning it in class and didn't even understand it, but you make it seem so easy!
@RealMikeDobbs
2 жыл бұрын
Hey- that's great! Thanks for letting me know 😄
i have maths paper tomorrow..polygon is nothing for me now...lol Thanks so much....😎😇🔥
I loved the lesson .Handy tips
THANK YOU SO MUCH! I was so lost while doing my college math homework I have a midterm on Tuesday and you helped me so much! I appreciate you so much!! :)
@RealMikeDobbs
Жыл бұрын
That's terrific- so glad it helped! Thanks for letting me know 😄
Awesome Explanation !!!
Bro ngl you are one of the legit best math teachers I’ve ever come across😭 hats off to your teaching style and THANKYOU SO MUCH!!✨💗 helping students even after 7 years!!
@RealMikeDobbs
4 ай бұрын
Oh wow, thank you so much! I try my best to present everything in the best way to help students understand and make connections. I’m so glad it helped you 😀
@vintxge_taetae
4 ай бұрын
@@RealMikeDobbs you are so welcome🥰 hope you continue to grow and once again tysm for all your help :)
LET'S GOOOOOOOOOOOOO!!!!!!!!!!!!!!!!!!! very good video bro. keep up the good work
I'm teaching geometry for the first time and am always on the lookout for the best way to explain concepts to students and this video is great! Thank you!
@RealMikeDobbs
Жыл бұрын
Wow- thanks so much for letting me know, I'm glad you found it helpful 😄 I have a whole playlist of Geometry videos on my channel, but two in particular that I think my approach is pretty good are: MeanProportional: kzread.info/dash/bejne/a5htyMyvZbrdcrQ.html Special Right Triangles: kzread.info/dash/bejne/mpqotsxygsnbqLA.html
My teacher on gave us the harder way of solving this but you just made it so much easier, I'm so grateful❤️
@RealMikeDobbs
Жыл бұрын
Oh wow, that's terrific. I'm glad it helped you out 😄
This was super helpful!!!
You are a nice person you don’t forget about old vids (btw this helped me a lot)
@RealMikeDobbs
3 жыл бұрын
Well thank you, and thanks for letting me know it helped you 😀
You are a really good teacher. I liked your detailed explanation of these concepts. It was really worth watching!👍👍
@RealMikeDobbs
4 жыл бұрын
Thank you very much- I'm glad it helped you out. Be sure to look around the channel, I have many more Geometry videos and other fun stuff.
Mind blowing 👌👌 Love from India🇮🇳
@RealMikeDobbs
3 жыл бұрын
Thank yo so much 😄
I came from 2019. I had a problem with that lesson, tho it is easy but the teacher made it hard so I decided to search on youtube and see any video which helps me as my exams are on doors, and I found ur video, it was the first one, by the way, so I decided to watch it and it helped me a lot thank u so much
this was the only vid on this that ACTUALLY helped me understand thank god i can finally understand my assignment now
@RealMikeDobbs
3 жыл бұрын
Thanks so much for letting me know! I’m so glad it helped everything click for you 😀
Thank you so much I finally understand wish you were my teacher for every subject
@RealMikeDobbs
3 жыл бұрын
Why thank you! I’m so glad this was able to help you out. I don’t think I’d be much help with History through 🤣🤣🤣
Thank you!!!! This helps a lot
this is really cool mahn...much appreciated
@RealMikeDobbs
8 ай бұрын
Glad you enjoyed it, my pleasure 😄
Thanks , My igcse o levels are today and you saved a lot of time with this excellent explanation !!
@RealMikeDobbs
Ай бұрын
Glad it helped you out, thanks for letting me know 😀
omg tysm u have no idea how much of a lifesaver u r TYSMMMMM
@RealMikeDobbs
2 жыл бұрын
Oh wow, you're very welcome! Glad to know it helped you out 😄
Thx for reassuring me in my knowledge of polygons, I wasn't fully there (mentally) in class the last two days, so this was very much appreciated especially bc of tmrw's quiz
@RealMikeDobbs
2 жыл бұрын
Thanks for watching and commenting- glad to know the video helped you out 😀
thank you so much for this video! you have such a high value content, keep it up!!
@RealMikeDobbs
3 жыл бұрын
Why thank you! So glad you found it useful 😀
Love this video made everything so clear!!!
@RealMikeDobbs
4 жыл бұрын
Thanks so much! Many more tutorial vids on the channel, math raps and VLOGS too. 👍
Thank you so much. Stay safe and happy and keep helping . ❤️
@RealMikeDobbs
2 жыл бұрын
Thanks so much- glad you found it helpful 😄
Thanks man you are great teacher! 😀
Thank you so much for this video. I didn't really understand this topic in maths but you saved me thanks so much
@RealMikeDobbs
4 жыл бұрын
I'm so glad it helped you out : )
@mystic6970
4 жыл бұрын
@@RealMikeDobbs thanks very much
thanks so much my exam is tomorrow and you helped me alot!!!!!!!!!!!
@RealMikeDobbs
2 жыл бұрын
That’s great to hear- thanks for letting me know, and good luck in your exam 😀
OMG thank you so much for this video! It's a life saver! I never understood this and now I do! Thank you so much sir!!!! Subscribed and liked!
Very nice explanation ✌
Thank you for your precious video...helpled me for my tom's exam.
@RealMikeDobbs
3 жыл бұрын
Glad to hear it- thanks for watching 😄
Today I have a test on this you are a life saver
@RealMikeDobbs
3 жыл бұрын
Glad it helped you out 😄
@danielazadiel6439
3 жыл бұрын
@@RealMikeDobbs it was helpful
OMG TYSM IT TOOK ME 4 TIMES TO UNDERSTAND THIS VID, BUT I ACTUALLY UNDERSTOOD TYSM.
@RealMikeDobbs
3 жыл бұрын
Wow, that’s great! You did the work by going back through the material until you understood it- so glad it helped you out. Thanks for letting me know 😀
Thank you for expalining , now the formula make sence
@RealMikeDobbs
2 жыл бұрын
That’s the best comment I could receive. So glad it helped it make sense for you. Thanks for letting me know 😀
This is explained so well, thank you for making this video!
thanks for the great help!!
THANK YOU SO MUCH U SAVED ME MY TEST IS LITERALLY TMRW AND I WAS FREAKING OUT BUT NOWI UNDERSTAND IT THANK GOOD
Thank you do much, you're s life saver! and your explanation is so understandable and detailed
@RealMikeDobbs
2 жыл бұрын
You’re very welcome- glad to hear it helped. Thanks for letting me know 😀
Thankyou! You're 10000 times better than my math teacher
@RealMikeDobbs
2 жыл бұрын
Thanks so much! Really glad to hear it helped you out. Sometimes hearing something presented in a different way can make a big difference 😄
Well done job👏👏👏👏
OMG TYSMSMSMM THIS VIDEO HELPED ME MORE THAN YOU THINK I REALLY FELL BAD FOR YOU ONLY HAVE 5K YOU DESERVE MORE
@RealMikeDobbs
2 жыл бұрын
Wow- thanks so much! It would be nice to have more subscribers, but I’m very happy every time I get a comment like this. So glad to hear it helped you out, and thanks for letting me know 😀 BTW: when you have a chance you should check out some of my math raps too- not very educational, but they’re pretty fun 👍
Excellent……It was very easy to understand….Because of this video I understood very well…..👍🏻👍🏻
@RealMikeDobbs
2 жыл бұрын
Thanks very much! So glad you found the video helpful 😄
Thanks👍👍(teacher) its really helpful.
Thank you so much for your video. I understand why it is 180(n-2) now. Self-teaching is so hard.
@RealMikeDobbs
4 жыл бұрын
That's fantastic, glad it helped you : )
your a real life saver i had forgoten all about this
@RealMikeDobbs
4 жыл бұрын
Glad it helped you out! 👍
very clear and concise
@RealMikeDobbs
4 жыл бұрын
Thank you : )
This is very useful, thank you! ❤
@RealMikeDobbs
7 ай бұрын
You’re very welcome- glad it helped 😀
To find the interio angle for regular polygons you do the number of side minus 2 multiply by 180
@RealMikeDobbs
3 жыл бұрын
That will give you the SUM of the interior angles. Then you can find one by dividing by the # of them (IF the polygon is regular). I prefer to find an exterior angle and then take the supplement. Faster and the numbers are smaller.
I understand now, thanks sir!!
@RealMikeDobbs
4 жыл бұрын
Fantastic! You're welcome : )
This really helped! Thanks!
@RealMikeDobbs
4 жыл бұрын
Glad to hear it :)
Thanks very helpgul for test!
Bro, you are the best teacher. your teaching method is great.. You taught me what my teacher taught in 1 week. GIve me a heart.. love from India
@RealMikeDobbs
3 жыл бұрын
Wow- thank you! I'm really glad you found it helpful. 👍
Thank you very much Sir I really need this for my Math project I really love the way you teach Thank you Again😊😊😊
@RealMikeDobbs
3 жыл бұрын
Hey- thanks so much 😄. I love hearing from people who benefit from my videos, so glad it helped you out 👍
This video is really helpfull .All my queries are clear now . Thankyou 😊😊
@RealMikeDobbs
3 жыл бұрын
Thanks so much! Glad to hear it helped 😄
concept made easy to understand. Thank you.😀
@RealMikeDobbs
2 жыл бұрын
Fantastic! So glad to know it helped you- thanks so much for letting me know 😄
U really teach us in a best way....
@RealMikeDobbs
4 жыл бұрын
Why thank you 😄
WOW, you explained it well, thanks to you!!!
@RealMikeDobbs
2 жыл бұрын
Thanks so much- glad to hear it helped you 😀
My math teacher didnt believe me and then i showed her this and she did
@RealMikeDobbs
2 жыл бұрын
Wait, didn't believe you about what? I need more details 🤔
It was so easy?!! All thanks to you sir!
@RealMikeDobbs
3 жыл бұрын
You’re very welcome 😀
Thanks I had no clue what I polygon was, I forgot it ages ago. 👍🏽
@RealMikeDobbs
4 жыл бұрын
You're very welcome : )
thanks man this really clarifies
@RealMikeDobbs
3 жыл бұрын
My pleasure, thanks for letting me know it was helpful 😄
this was a great video u help me allot
Thanks you smmm Mann, it was a great source of help
@RealMikeDobbs
3 жыл бұрын
You're very welcome 😄. So glad to know it helped you.
Thank you so much dude this really helped me out :D
@RealMikeDobbs
3 жыл бұрын
My pleasure- glad it helped 😄
I liked the explanation of sum of interior angles of a polygon is (n-2)*180 degree by creating n-2 triangles. However, there is another approach to prove it. In this approach, we create n triangles by connecting some point within polygon with each vertex.
@RealMikeDobbs
2 жыл бұрын
Oh sure- that’s also a nice way to prove the relationship- in fact, I touch upon a more general case of that proof at about minute 5 when I add an “extra” line and looked at how it still revolves to the same relationship. I love how you can use multiple pathways to arrive at the same conclusion. Thanks for watching 😀
This vid really helped me to understand the topic. I’m going to write my test tomorrow and I hope that because of the video I’ll pass for a good mark. Thank you!
@RealMikeDobbs
Жыл бұрын
Thanks so much for letting me know. I’m thrilled to hear that the video helped you out. Best of luck on your exam 😀
@najimi14
Жыл бұрын
@@RealMikeDobbs Hi, Yes! I actually got 98 for my exam! All thanks to you for your great educational videos :)
@RealMikeDobbs
Жыл бұрын
Way to go!
Thank You very much!
This answered all my questions thank you
@RealMikeDobbs
2 жыл бұрын
That's great to hear- thanks for letting me know 😄
@mahjialing
2 жыл бұрын
@@RealMikeDobbs :)
I really enjoyed this video Thanks Cheers to you
@RealMikeDobbs
10 ай бұрын
Thanks so much 😀
nice video thank you sir