{"id":2578,"date":"2021-05-10T17:00:13","date_gmt":"2021-05-10T17:00:13","guid":{"rendered":"https:\/\/enorcerna.com\/wiki\/definition\/supplementary-angles\/"},"modified":"2021-05-10T17:00:13","modified_gmt":"2021-05-10T17:00:13","slug":"supplementary-angles","status":"publish","type":"post","link":"https:\/\/enorcerna.com\/wiki\/definition\/supplementary-angles\/","title":{"rendered":"supplementary angles"},"content":{"rendered":"<div>\n<p>The geometric figures that are formed by two rays, which share origin (vertex), are called <strong>angles<\/strong>.  Adjective <strong>supplementary<\/strong>, for its part, refers to that which supplements or complements something.<\/p>\n<p>Based on these ideas, it is easy to understand what <strong>supplementary angles<\/strong>.  It is about those angles that, <strong>when added together, you get two right angles<\/strong>.  As each <strong>right angle<\/strong> measure <strong>90\u00ba<\/strong>, the sum of the supplementary angles is equal to <strong>180\u00ba<\/strong> (that is, to a <strong>flat angle<\/strong>).  In this way, starting from all the above, we would come across the fact that the supplementary of an angle of 135\u00ba would be one of 45\u00ba or that the supplementary one of an angle of 179\u00ba is one of 1\u00ba.<\/p>\n<div id=\"attachment_74174\" style=\"width: 650px\" class=\"wp-caption alignnone\"><img decoding=\"async\" loading=\"lazy\" aria-describedby=\"caption-attachment-74174\" loading=\"lazy\" src=\"https:\/\/enorcerna.com\/wiki\/wp-content\/uploads\/2021\/05\/angulos-suplementarios.png\" alt=\"Squad\" width=\"640\" height=\"320\" class=\"size-full wp-image-74174\"  \/><\/p>\n<p id=\"caption-attachment-74174\" class=\"wp-caption-text\">The sum of the supplementary angles equals 180\u00ba.<\/p>\n<\/div>\n<p>It is important not to confuse the supplementary angles (which added together give <strong>180\u00ba<\/strong>) with the <strong>complementary angles<\/strong> (which add up <strong>90\u00ba<\/strong>).  While supplementary angles are equivalent to two right angles, complementary angles are equivalent to one right angle.<\/p>\n<h2 id=\"ejemplos-de-angulos-suplementarios\">Examples of supplementary angles<\/h2>\n<p>In addition to what we have stated so far, it is interesting that we are aware that in everyday life we \u200b\u200bfind many examples of supplementary angles.  Specifically, these can be found in what are structures of all kinds, but more precisely in those that are considered to have to support a lot of weight.<\/p>\n<p>What examples do we have around us in this regard?  Well, from the arched bridges that we can see in many towns and cities to the tents that are raised to host an outdoor wedding, also passing through what can be the beam that exists in a house or premises and that is presented perpendicularly. to what is the ground.<\/p>\n<p>In all mentioned structures we can clearly appreciate what supplementary angles are.<\/p>\n<p>But not only that, in our day to day, we also have examples of complementary angles.  Specifically, perhaps the clearest example and the one that allows us to understand more and better what those are like can be found in the hands of any watch.<\/p>\n<div id=\"attachment_74175\" style=\"width: 650px\" class=\"wp-caption alignnone\"><img decoding=\"async\" loading=\"lazy\" aria-describedby=\"caption-attachment-74175\" loading=\"lazy\" src=\"https:\/\/enorcerna.com\/wiki\/wp-content\/uploads\/2021\/05\/aprender-geometria.jpg\" alt=\"Geometry teaching\" width=\"640\" height=\"426\" class=\"size-full wp-image-74175\"  \/><\/p>\n<p id=\"caption-attachment-74175\" class=\"wp-caption-text\">Supplementary angles are studied in geometry.<\/p>\n<\/div>\n<h2 id=\"usando-la-aritmetica\">Using arithmetic<\/h2>\n<p>Supplementary angles can be obtained by appealing to arithmetic.  Suppose we intend to find out the <strong>supplementary angle b<\/strong> of a <strong>angle a<\/strong>.  For this, we must subtract the angle <strong>to<\/strong> to <strong>180\u00ba<\/strong> and the <strong>Outcome<\/strong> will be the <strong>angle b<\/strong>, its supplementary.<\/p>\n<p>For example: if the <strong>angle a<\/strong> measure <strong>125\u00ba<\/strong>, when we subtract <strong>125\u00ba<\/strong> to <strong>180\u00ba<\/strong> we will reach a result of <strong>55th<\/strong>.  We can verify that they are supplementary angles by adding <strong>125\u00ba<\/strong> (the <strong>angle a<\/strong>) Y <strong>55th<\/strong> (the <strong>angle b<\/strong>), whose result is equal to <strong>180\u00ba<\/strong> (a <strong>flat angle<\/strong> or two right angles). <\/p>\n<p>Supplementary angles can also be classified in other ways.  If these angles share origin and one side, and their other two sides are opposite rays, they are <strong>adjacent angles<\/strong>.  Also, having a side and vertex in common, they are <strong>consecutive or contiguous angles<\/strong>.<\/p>\n<p>In addition to all the above, we have to emphasize that supplementary angles become key pieces within different disciplines, but, above all, in mathematics and also in architecture. <\/p>\n<\/div>\n\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-center kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;center&quot;,&quot;id&quot;:&quot;2578&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;0&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;0&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;4&quot;,&quot;greet&quot;:&quot;Rate this post&quot;,&quot;legend&quot;:&quot;0\\\/5 - (0 votes)&quot;,&quot;size&quot;:&quot;24&quot;,&quot;title&quot;:&quot;supplementary angles&quot;,&quot;width&quot;:&quot;0&quot;,&quot;_legend&quot;:&quot;{score}\\\/{best} - ({count} {votes})&quot;,&quot;font_factor&quot;:&quot;1.25&quot;}'>\n            \n<div class=\"kksr-stars\">\n    \n<div class=\"kksr-stars-inactive\">\n            <div class=\"kksr-star\" data-star=\"1\" style=\"padding-right: 4px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"2\" style=\"padding-right: 4px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"3\" style=\"padding-right: 4px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"4\" style=\"padding-right: 4px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"5\" style=\"padding-right: 4px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n    \n<div class=\"kksr-stars-active\" style=\"width: 0px;\">\n            <div class=\"kksr-star\" style=\"padding-right: 4px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 4px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 4px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 4px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 4px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n                \n\n<div class=\"kksr-legend\" style=\"font-size: 19.2px;\">\n            <span class=\"kksr-muted\">Rate this post<\/span>\n    <\/div>\n    <\/div>\n","protected":false},"excerpt":{"rendered":"<p>The geometric figures that are formed by two rays, which share origin&hellip;<\/p>\n","protected":false},"author":1,"featured_media":2579,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-2578","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-definition"],"_links":{"self":[{"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/posts\/2578","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/comments?post=2578"}],"version-history":[{"count":0,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/posts\/2578\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/media\/2579"}],"wp:attachment":[{"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/media?parent=2578"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/categories?post=2578"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/tags?post=2578"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}