There is a wonderful proof for a regular star pentagon. These concepts can be used to prove the result. While that is not a proof, it suggests an answer of 180 degrees, which might give you the idea to think about half of a circle or the sum of angles in a triangle. You can see an animation of that here: star pentagon angle sum animation. If you place a pen along one of the sides, and then rotate it through the 5 angles, you will end up with the pen in the same spot but flipped 180 degrees. In the video, I explain an intuitive way to see the answer is 180 degrees. (Pretty much all posts are transcribed quickly after I make the videos for them–please let me know if there are any typos/errors and I will correct them, thanks). MindYourDecisions now has over 1,000 free articles with no ads thanks to community support! Help out and get early access to posts with a pledge on Patreon. "All will be well if you use your mind for your decisions, and mind only your decisions." Since 2007, I have devoted my life to sharing the joy of game theory and mathematics. What Is The Sum Of Angles In A Star? Challenge From India Here’s a bonus problem: if the star is not regular, what is a + b + c + d + e = ?Ĭan you figure it out? Watch the video for a solution. What is the sum of the corner angles in a regular 5-sided star? What is a + b + c + d + e = ? Thanks to Nikhil Patro from India for suggesting this! (rated 4.2/5 stars on 29 reviews) Kindle Unlimited Math Puzzles Volume 3 is the third in the series. Math Puzzles Volume 2 is a sequel book with more great problems. Volume 1 is rated 4.4/5 stars on 112 reviews. Math Puzzles Volume 1 features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. The puzzles topics include the mathematical subjects including geometry, probability, logic, and game theory. Mind Your Puzzles is a collection of the three “Math Puzzles” books, volumes 1, 2, and 3. 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. The Best Mental Math Tricks teaches how you can look like a math genius by solving problems in your head (rated 4.3/5 stars on 116 reviews) 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 4.3/5 stars on 290 reviews)Ĥ0 Paradoxes in Logic, Probability, and Game Theory contains thought-provoking and counter-intuitive results. The Joy of Game Theory shows how you can use math to out-think your competition. (3) The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias (2) 40 Paradoxes in Logic, Probability, and Game Theory (1) The Joy of Game Theory: An Introduction to Strategic Thinking Mind Your Decisions is a compilation of 5 books: As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, I may be compensated for purchases made on Amazon.
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