{"id":67004,"date":"2018-07-18T17:43:26","date_gmt":"2018-07-18T17:43:26","guid":{"rendered":"https:\/\/schooltutoring.com\/scholarship\/?p=67004"},"modified":"2018-07-18T17:43:26","modified_gmt":"2018-07-18T17:43:26","slug":"basic-angle-properties","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2018\/07\/18\/basic-angle-properties\/","title":{"rendered":"Basic Angle Properties"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">Below are the essential angle properties to have mastered before entering high school. <\/span><\/p>\n<h3><b>Supplementary Angles: <\/b><\/h3>\n<p><span style=\"font-weight: 400;\">There is 180 degrees in a straight line. Therefore a group of angles that are constructed from a straight line must sum to 180 degrees. We say that this group of angles is supplementary.<\/span><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-9.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-67005\" src=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-9.jpg\" alt=\"\" width=\"271\" height=\"106\" \/><\/a><\/p>\n<h3><b>Complementary Angles: <\/b><\/h3>\n<p><span style=\"font-weight: 400;\">A right angle has 90 degrees. Therefore a group of angles that are constructed from a right angle must sum to 90 degrees. We say that this group of angles is complementary.<\/span><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-10.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-67006\" src=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-10.jpg\" alt=\"\" width=\"148\" height=\"129\" \/><\/a><\/p>\n<h3><b>Opposite Angles: <\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Opposite angles are equal, as shown below.<\/span><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-11.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-67007\" src=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-11.jpg\" alt=\"\" width=\"193\" height=\"98\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Notice that the sum of all four angles is 360 degrees. This is because they form a circle and there are 360 degrees in a circle. <\/span><\/p>\n<h3><b>Z Pattern: <\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Two parallel lines and a transversal create several patterns. One is the Z pattern as seen below.<\/span><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-12.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-67008\" src=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-12.jpg\" alt=\"\" width=\"296\" height=\"138\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Here alternate angles are equal.<\/span><\/p>\n<h3><b>F Pattern: <\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Two parallel lines and a transversal create several patterns. One is the F pattern as seen below.<\/span><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-13.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-67009\" src=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-13.jpg\" alt=\"\" width=\"201\" height=\"101\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Here corresponding angles are equal.<\/span><\/p>\n<h3><b>C Pattern: <\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Two parallel lines and a transversal create several patterns. One is the C pattern as seen below.<\/span><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-14.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-67010\" src=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-14.jpg\" alt=\"\" width=\"281\" height=\"145\" \/><\/a><\/p>\n<h3><b>Sum of Interior Angles: <\/b><\/h3>\n<p><span style=\"font-weight: 400;\">This refers to the sum of all of the angles in particular shapes. These values are always constant. For example, in every triangle the angles always sum to 180 degrees. In every quadrilateral, the angles always sum to 360 degrees. These are the two most important values to know. In future math courses, more information will be taught.<\/span><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-15.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-67011\" src=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-15.jpg\" alt=\"\" width=\"578\" height=\"169\" srcset=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-15.jpg 578w, https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2018\/07\/Capture-15-300x88.jpg 300w\" sizes=\"auto, (max-width: 578px) 100vw, 578px\" \/><\/a><\/p>\n<p>Interested in <a href=\"https:\/\/schooltutoring.com\/math-tutoring\/\">math tutoring services<\/a>? Learn more about how we are assisting thousands of students each academic year.<\/p>\n<p><span style=\"color: #ff6600;\"><a style=\"color: #ff6600;\" title=\"SchoolTutoring Academy\" href=\"https:\/\/www.schooltutoring.com\" target=\"_blank\" rel=\"noopener\">SchoolTutoring Academy<\/a>\u00a0<\/span>is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in <a href=\"https:\/\/schooltutoring.com\/Tutors\/MT\/\">Billings, MT<\/a>: visit: <a href=\"https:\/\/schooltutoring.com\/tutoring-in-billings-montana\/\">Tutoring in Billings, MT.<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Below are the essential angle properties to have mastered before entering high school. Supplementary Angles: There is 180 degrees in a straight line. Therefore a group of angles that are constructed from a straight line must sum to 180 degrees. We say that this group of angles is supplementary. Complementary Angles: A right angle has [&hellip;]<\/p>\n","protected":false},"author":17,"featured_media":67012,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[3014,10,11,3016,3017,1],"tags":[],"class_list":["post-67004","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-fromulae-and-equations","category-geometry","category-math-fundamentals","category-resources","category-review","category-uncategorized"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/67004","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/17"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=67004"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/67004\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media\/67012"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=67004"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=67004"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=67004"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}