{"id":662,"date":"2019-02-12T15:55:14","date_gmt":"2019-02-12T20:55:14","guid":{"rendered":"http:\/\/josmfs.net\/?p=662"},"modified":"2024-04-14T17:02:12","modified_gmt":"2024-04-14T21:02:12","slug":"star-sum-of-angles","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/02\/12\/star-sum-of-angles\/","title":{"rendered":"Star Sum of Angles"},"content":{"rendered":"

\"\"This problem posted by Presh Talwalkar offers a variety of solutions, but I didn\u2019t quite see my favorite approach for such problems. So I thought I would add it to the mix.<\/p>\n

\u201cThanks to Nikhil Patro from India for suggesting this! What is the sum of the corner angles in a regular 5-sided star? What is a + b + c + d + e = ? Here\u2019s a bonus problem: if the star is not regular, what is a + b + c + d + e = ?\u201d<\/p>\n

Answer<\/a>.<\/p>\n

See Star Sum of Angles<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"

This problem posted by Presh Talwalkar offers a variety of solutions, but I didn\u2019t quite see my favorite approach for such problems. So I thought I would add it to the mix. \u201cThanks to Nikhil Patro from India for suggesting this! What is the sum of the corner angles in a regular 5-sided star? What […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[13,17],"class_list":["post-662","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-plane-geometry","tag-presh-talwalkar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/662","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=662"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/662\/revisions"}],"predecessor-version":[{"id":3891,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/662\/revisions\/3891"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=662"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=662"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=662"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}