{"id":1174,"date":"2019-07-19T12:17:22","date_gmt":"2019-07-19T16:17:22","guid":{"rendered":"http:\/\/josmfs.net\/?p=1174"},"modified":"2024-04-10T16:47:09","modified_gmt":"2024-04-10T20:47:09","slug":"cube-slice-angle-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/07\/19\/cube-slice-angle-problem\/","title":{"rendered":"Cube Slice Angle Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-1172\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/07\/Cube-Slice-Angle-Fig.jpg\" alt=\"\" width=\"170\" height=\"195\" \/>This is from the UKMT Senior Challenge of 2004.<\/p>\n<p>\u201cL, M, and N are midpoints of a skeleton cube, as shown. What is the value of angle LMN?<\/p>\n<p><span style=\"color: #ffffff;\">_____<\/span>A<span style=\"color: #ffffff;\">_<\/span>90\u00b0<span style=\"color: #ffffff;\">_____<\/span>B<span style=\"color: #ffffff;\">_<\/span>105\u00b0<span style=\"color: #ffffff;\">_____<\/span>C<span style=\"color: #ffffff;\">_<\/span>120\u00b0<span style=\"color: #ffffff;\">_____<\/span>D<span style=\"color: #ffffff;\">_<\/span>135\u00b0<span style=\"color: #ffffff;\">_____<\/span>E<span style=\"color: #ffffff;\">_<\/span>150\u00b0\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Cube-Slice-Angle-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/07\/Cube-Slice-Angle-Problem-190621.pdf\">Cube Slice Angle Problem<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is from the UKMT Senior Challenge of 2004. \u201cL, M, and N are midpoints of a skeleton cube, as shown. What is the value of angle LMN? _____A_90\u00b0_____B_105\u00b0_____C_120\u00b0_____D_135\u00b0_____E_150\u00b0\u201d Answer. See Cube Slice Angle Problem for solutions.<\/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":[13,83,31],"class_list":["post-1174","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-plane-geometry","tag-ukmt-challenge","tag-vectors"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1174","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=1174"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1174\/revisions"}],"predecessor-version":[{"id":3815,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1174\/revisions\/3815"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1174"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1174"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}