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...

[@sandycrotch3092]

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]

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: kzbin.info/www/bejne/f2O0aKqJZtxjeK8

[@footballfreak2593]

All exterior angles equal to 360

[@mamafatah2363]

I agree 👍😊

[@RealMikeDobbs]

Well said- I didn’t have the energy to try to write it out so I made the video linked above 😀

[@trainerzard7]

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]

I'm so glad- thanks for sharing : )

[@yonettecrawford2974]

@@RealMikeDobbs I understand this video

[@jazzy7938]

Same lol I didn’t understand it that well until now

[@giamendonca9048]

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]

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]

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[@vincenthealy4550]

I learned more from you than I did from my actual teacher!

[@RealMikeDobbs]

Glad to hear it helped you out! 👍

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Ur really teach in a way where this will stay in my head forever now thanks👍🏽

[@RealMikeDobbs]

Best comment I could ask for- thank you!

[@cuongNguyen-ke5lr]

i was busy daydreaming in class so i guess i had to learn this either way {thx very much}

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U mean phone in class

[@sammortimer582]

If only all teachers made learning easier like you, cheers

[@tilindolpho7084]

Thank you so much. I wasn’t understanding this in my class. Now I get it

[@lucybruechert8971]

This helps me so much with my online geometry class!! Thank you, you are a great teacher.

[@RealMikeDobbs]

You're very welcome Lucy- I'm so glad it helped you out 😄👍

[@Sai-fe8mq]

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]

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: kzbin.info/aero/PLvBeH0oPsOMWNR9zd-9YUYTPYUMsKR4fO

[@tushagr506]

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[@RealMikeDobbs]

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[@RealMikeDobbs]

Thank you so much for letting me know. So glad to know you found it helpful. Good luck on your exam 👍😀

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[@nevergiveuphk]

I like the way of the tutorial not only solving the problem with the formula, but also with the background behind. Thank you!

[@RealMikeDobbs]

Thanks so much! I think it's so helpful to understand, rather than try to memorize everything. I'm glad you found it helpful 😄

[@marwankafrawy4241]

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

[@SussyGussy69420]

Your replying on comments on your 4 year old video respect has been granted upon you by me

[@RealMikeDobbs]

Why thank you, much appreciated 😄 I love hearing from people who get value from my vids. Thanks for watching 👍

[@xdlariat4249]

Thank goodness i found your channel, Finally understood polygons

[@RealMikeDobbs]

That's awesome- be sure to subscribe and let me know if there's anything you'd like help with.

[@EyeLean5280]

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]

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: kzbin.info/www/bejne/b5Wcl52saryqeLM Special Right Triangles: kzbin.info/www/bejne/npfXhZ1vh8uorq8

[@matthewg940]

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]

Thank you! That's great to hear, so glad it helped 😄

[@diegomandragora4327]

Arguably the best and most intuitive explanation of this topic. Thank you very much !

[@RealMikeDobbs]

Oh wow- thanks for the wonderful feedback. So glad you enjoyed it 😀

[@yousefahmedali5745]

Thanks for the video it was so helpful you summed up everything

[@itsnabzi]

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[@RealMikeDobbs]

Hey- that's great! Thanks for letting me know 😄

[@anjirnoor950]

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[@sshade8930]

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[@MithutheBakra]

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]

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[@RealMikeDobbs]

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[@RealMikeDobbs]

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[@nilo413]

I loved the lesson .Handy tips

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You're one of the best teachers out there for sure!

[@RealMikeDobbs]

Thanks so much Nova : )

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This was super helpful!!!

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[@RealMikeDobbs]

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[@shavanjuggoo4609]

i have maths paper tomorrow..polygon is nothing for me now...lol Thanks so much....😎😇🔥

[@yasmeenfatima4005]

Awesome Explanation !!!

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[@RealMikeDobbs]

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.

[@oliverdominguez796]

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]

Thanks for watching and commenting- glad to know the video helped you out 😀

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[@RealMikeDobbs]

Oh wow, you're very welcome! Glad to know it helped you out 😄

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Thanks man you are great teacher! 😀

[@smexyboi2.085]

My teacher on gave us the harder way of solving this but you just made it so much easier, I'm so grateful❤️

[@RealMikeDobbs]

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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 !

[@liamelias2969]

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[@zafudsstampede1199]

Thanks now I understand polygons I hope u become a popular KZbinr in future thank you and have a nice day

[@RealMikeDobbs]

Thank you so much! I'm working on it : ) Be sure to check out my #MrAMathRaps too

[@vikrantkashyap4309]

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[@RealMikeDobbs]

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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]

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]

@@RealMikeDobbs you are so welcome🥰 hope you continue to grow and once again tysm for all your help :)

[@simpleman283]

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]

🤣🤣🤣 That’s the nicest way anyone has ever described a mistake of mine. So glad you enjoyed the video- thanks for letting me know 😀

[@outcast3019]

explained this lesson better than my college teacher, much appreciated

[@RealMikeDobbs]

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Thank you so much I finally understand wish you were my teacher for every subject

[@RealMikeDobbs]

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 🤣🤣🤣

[@O7ghostX]

Thank you so much for your video. I understand why it is 180(n-2) now. Self-teaching is so hard.

[@RealMikeDobbs]

That's fantastic, glad it helped you : )

[@The_Bullett]

Thanks very helpgul for test!

[@hiiamjustacoolrandomuser168]

Thank you for expalining , now the formula make sence

[@RealMikeDobbs]

That’s the best comment I could receive. So glad it helped it make sense for you. Thanks for letting me know 😀

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[@RealMikeDobbs]

Well thank you, and thanks for letting me know it helped you 😀

[@suvekrevankar4432]

Man you nailed it, the car explanation though

[@RealMikeDobbs]

Thanks! Did you like the car explanation, or did you not find that part helpful?

[@FentanyII]

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[@RealMikeDobbs]

Glad it helped you out, thanks for letting me know 😀

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[@RealMikeDobbs]

I'm so glad it helped you out : )

[@mystic6970]

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Love this video made everything so clear!!!

[@RealMikeDobbs]

Thanks so much! Many more tutorial vids on the channel, math raps and VLOGS too. 👍

[@possible1513]

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[@RealMikeDobbs]

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[@RealMikeDobbs]

You’re very welcome- glad to hear it helped. Thanks for letting me know 😀

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[@RealMikeDobbs]

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[@RealMikeDobbs]

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[@RealMikeDobbs]

Glad you enjoyed it, my pleasure 😄

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OMG TYSM IT TOOK ME 4 TIMES TO UNDERSTAND THIS VID, BUT I ACTUALLY UNDERSTOOD TYSM.

[@RealMikeDobbs]

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 😀

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[@RealMikeDobbs]

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[@RealMikeDobbs]

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[@moniqueclar6487]

Thank you very much Sir I really need this for my Math project I really love the way you teach Thank you Again😊😊😊

[@RealMikeDobbs]

Hey- thanks so much 😄. I love hearing from people who benefit from my videos, so glad it helped you out 👍

[@abinparvelikudy3788]

I actually learnt something with this car

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[@RealMikeDobbs]

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I understand now, thanks sir!!

[@RealMikeDobbs]

Fantastic! You're welcome : )

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[@RealMikeDobbs]

My pleasure, thanks for letting me know it was helpful 😄

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[@RealMikeDobbs]

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[@RealMikeDobbs]

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[@RealMikeDobbs]

Thank you : )

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[@RealMikeDobbs]

Glad to hear it :)

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[@RealMikeDobbs]

You’re very welcome- glad it helped 😀

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[@RealMikeDobbs]

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[@RealMikeDobbs]

That’s great to hear- thanks for letting me know, and good luck in your exam 😀

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[@RealMikeDobbs]

Thanks!

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I wish you were my math teacher!

[@pranaytejakayyam5317]

concept made easy to understand. Thank you.😀

[@RealMikeDobbs]

Fantastic! So glad to know it helped you- thanks so much for letting me know 😄

[@yeojachingutingal5733]

thank you so much sir

[@mrleche3468]

Thanks I had no clue what I polygon was, I forgot it ages ago. 👍🏽

[@RealMikeDobbs]

You're very welcome : )

[@ApplyIT2021]

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]

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 😀

[@fatimah-un3yy]

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[@RealMikeDobbs]

You're very welcome 😄. So glad to know it helped you.