Sum Of Angles In A Star - Challenge From India!

Thanks to Nikhil Patro for suggesting this problem! What is the sum of the corner angles in a regular 5-sided star? What if the star is not regular, what is the sum of corner angles then? There are some neat ways to solve this. I present my favorite methods. Thanks to all patrons! Special thanks to: Shrihari Puranik Richard Ohnemus Michael Anvari Kyle This is the only channel to feature math topics suggested by people around the world. Support the channel on Patreon so we can share the beauty of mathematics and make the world a better place: www.patreon.com/mindyourdecisions Subscribe: youtube.com/user/MindYourDecisions?sub_confirmatio… Playlist to watch all videos on MindYourDecisions:    • Uploads from MindYourDecisions   puzzling.stackexchange.com/questions/17681/five-an… www.futilitycloset.com/2015/04/25/star-power-2/ mathandmultimedia.com/2012/06/23/angle-sum-of-pent… mrhonner.com/archives/14821 mathandmultimedia.com/2012/06/23/angle-sum-of-pent… proofsfromthebook.com/2013/08/04/angle-sum-of-a-pe… en.wikipedia.org/wiki/Star_polygon Further reading www.math.nsysu.edu.tw/~wong/papers/soa-SEAM-format… If you buy from the links below I may receive a commission for sales. This has no effect on the price for you. Show your support! Get a mug, a t-shirt, and more at Teespring, the official site for Mind Your Decisions merchandise: teespring.com/stores/mind-you... My Books "The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 4.0/5 stars on 36 reviews) amzn.to/1uQvA20 "The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 4.6/5 stars on 3 reviews) amzn.to/1o3FaAg "Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews. amzn.to/1GhUUSH "Math Puzzles Volume 2" is a sequel book with more great problems. (rated 4.5/5 stars on 6 reviews) amzn.to/1NKbyCs "Math Puzzles Volume 3" is the third in the series. (rated 4/5 stars on 6 reviews) amzn.to/1NKbGlp "40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.4/5 stars on 13 reviews) amzn.to/1LOCI4U "The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.8/5 stars on 5 reviews) amzn.to/18maAdo "Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 4.3/5 stars on 6 reviews) amzn.to/XRm7M4 Connect with me My Blog: mindyourdecisions.com/blog/ Twitter: twitter.com/preshtalwalkar Facebook: www.facebook.com/pages/Mind-Your-Decisions/1684467… Google+: plus.google.com/108336608566588374147/posts Pinterest: www.pinterest.com/preshtalwalkar/ Tumblr: preshtalwalkar.tumblr.com/ Instagram: instagram.com/preshtalwalkar/ Patreon: www.patreon.com/mindyourdecisions Newsletter (sent only for big news, like a new book release): eepurl.com/KvS0r

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