{"id":70220,"date":"2021-03-11T13:29:11","date_gmt":"2021-03-11T19:29:11","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=70220"},"modified":"2026-05-08T13:36:26","modified_gmt":"2026-05-08T18:36:26","slug":"adjacent-angles","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/adjacent-angles\/","title":{"rendered":"Adjacent Angles"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_4eGAQOzsc7E\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_4eGAQOzsc7E\" data-source-videoID=\"4eGAQOzsc7E\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Adjacent Angles Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Adjacent Angles\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_4eGAQOzsc7E:hover {cursor:pointer;} img#videoThumbnailImage_4eGAQOzsc7E {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/2498-thumb-final-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_4eGAQOzsc7E\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_4eGAQOzsc7E\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Adjacent Angles\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_4eGAQOzsc7E\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_4eGAQOzsc7E\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_4eGAQOzsc7E\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction N6U_Function() {\n  var x = document.getElementById(\"N6U\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"N6U_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"N6U\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Overview\" class=\"smooth-scroll\">Overview<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Adjacent_Angles_Examples\" class=\"smooth-scroll\">Adjacent Angles Examples<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#What_Are_Adjacent_Angles\" class=\"smooth-scroll\">What Are Adjacent Angles?<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Adjacent_Angle_Practice_Questions\" class=\"smooth-scroll\">Adjacent Angle Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"overview\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"overview\">Overview<\/label><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"overview-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Overview\" class=\"m-toc-anchor\"><\/span>Overview<\/h2>\n<p>In geometry, two angles are <strong>adjacent <\/strong>if they have a common side and a common vertex. In other words, adjacent angles are directly next to each other and do not overlap.<\/p>\n<h2><span id=\"Adjacent_Angles_Examples\" class=\"m-toc-anchor\"><\/span>Adjacent Angles Examples<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-70226 aligncenter\" style=\"display: block; margin-left: auto; margin-right: auto;\" src=\"..\/wp-content\/uploads\/2021\/03\/Adjacent-angles-angle-a-and-angle-b.png\" sizes=\"auto, (max-width: 323px) 100vw, 323px\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Adjacent-angles-angle-a-and-angle-b.png 988w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Adjacent-angles-angle-a-and-angle-b-300x198.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Adjacent-angles-angle-a-and-angle-b-768x508.png 768w\" alt=\"Adjacent angles angle a and angle b\" width=\"323\" height=\"213\" \/><\/p>\n<p>In our first example, \u2220a is adjacent to \u2220b. They share a common vertex, which is the corner point A. They also share a common side, line AD. \u2220a and \u2220b are adjoined by line AD, but they do not overlap.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-70232 aligncenter\" style=\"display: block; margin-left: auto; margin-right: auto;\" src=\"..\/wp-content\/uploads\/2021\/03\/angles-1-2-and-3.png\" sizes=\"auto, (max-width: 281px) 100vw, 281px\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/angles-1-2-and-3.png 541w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/angles-1-2-and-3-300x265.png 300w\" alt=\"angles 1, 2, and 3\" width=\"281\" height=\"249\" \/><\/p>\n<p>In our second example, we see \u22201, \u22202, and \u22203. We see that \u22201 and \u22202 are adjacent because they have a common vertex and a common side. We see the same thing with \u22202 and \u22203, which also share a vertex and one side. Let\u2019s consider \u22201 and \u22203. Although they share a vertex, they are not adjacent because they do not have a common side.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-70229 aligncenter\" style=\"display: block; margin-left: auto; margin-right: auto;\" src=\"..\/wp-content\/uploads\/2021\/03\/alternate-angles-.png\" sizes=\"auto, (max-width: 375px) 100vw, 375px\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/alternate-angles-.png 673w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/alternate-angles--300x249.png 300w\" alt=\"alternate angles\" width=\"375\" height=\"311\" \/> In our last example, we see two angles, \u22201 and \u22202. Both angles share one side, line BC. However, these angles are not adjacent because they do not share a vertex.<\/p>\n<h2><span id=\"What_Are_Adjacent_Angles\" class=\"m-toc-anchor\"><\/span>What Are Adjacent Angles?<\/h2>\n<p>Based on our definition and the above examples, we can conclude that all pairs of adjacent angles share two properties: (1) a common vertex and (2) a common side. If they are missing one of these components, then they are not adjacent. We can classify pairs of angles as adjacent or not adjacent by looking for these two properties.<\/p>\n<p>There are many special relationships between pairs of angles. Identifying adjacent angles will help you recognize other angle relationships, such as supplementary and complementary angles.<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>There are many classifications for types of angles and the different relationships that angles have with each other. One such relationship is adjacency.<\/p>\n<p>The word \u201cadjacent\u201d means \u201cnext to,\u201d so it makes sense that two angles are considered <strong>adjacent<\/strong> if they are next to each other!<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-168977\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/Adjacent-Angles-1.1.jpg\" alt=\"Adjacent Angles\" width=\"625\" height=\"190\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/Adjacent-Angles-1.1.jpg 625w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/Adjacent-Angles-1.1-300x91.jpg 300w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/><\/p>\n<p>Here, we can see that \\(\\angle COB\\) is next to \\(\\angle BOA\\), making them adjacent. Formally, two requirements must be met for two angles to be considered adjacent. First, the angles must share the same vertex, or corner point. Here, \\(O\\) is that shared vertex. Second, the two angles must share one common side that lies between them. In this case, that common side is the ray from \\(O\\) to \\(B\\).<\/p>\n<p>Angles that overlap cannot be adjacent. For example, angles a and b shown here are not adjacent because they overlap.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-168980\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/Adjacent-Angles-2.jpg\" alt=\"Angles that aren't adjacent.\" width=\"652\" height=\"224\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/Adjacent-Angles-2.jpg 652w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/Adjacent-Angles-2-300x103.jpg 300w\" sizes=\"auto, (max-width: 652px) 100vw, 652px\" \/><\/p>\n<p>Let\u2019s take a look at some more angles. In this diagram, which pairs of angles are adjacent?<\/p>\n<p>Starting from the left, we can see that angles 1 and 2 share a common vertex and a common side. For this reason, they are adjacent. The pair of angles 2 and 3 also share a common vertex and common side, making them adjacent as well. But what about angles 1 and 3? While these angles still share a common vertex, they have no side in common, so they are not adjacent. <\/p>\n<p>Let\u2019s now consider angle 4. Is it adjacent to any of the other angles? While it does share a common side with angle 3, they do not have the same vertex. For this reason, angles 3 and 4 are not adjacent. Angle 4 is also not adjacent to angles 1 and 2 because it has neither a common vertex nor a common side between them.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-168983\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/Adjacent-Angles-3.jpg\" alt=\"Pairs of adjacent and non-adjacent angles.\" width=\"652\" height=\"374\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/Adjacent-Angles-3.jpg 652w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/Adjacent-Angles-3-300x172.jpg 300w\" sizes=\"auto, (max-width: 652px) 100vw, 652px\" \/><\/p>\n<p>Being able to identify adjacent angles by their common vertex and common side will come in handy in future lessons when looking for complementary angles, which are angles that add up to 90\u00b0, and for supplementary angles, which are angles adding up to 180\u00b0.<br \/>\nI hope that this video was helpful. Thanks for watching, and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Adjacent_Angle_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Adjacent Angle Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>Which of the following statements is true?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Adjacent-Angles-1.svg\" alt=\"Two intersecting straight lines form four angles labeled 1, 2, 3, and 4 at the intersection point.\" width=\"337\" height=\"246\" class=\"aligncenter size-full wp-image-274300\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">\u22201 and \u22204 are adjacent<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">\u22203 and \u22204 are adjacent<\/div><div class=\"PQ\"  id=\"PQ-1-3\">\u22201 and \u22202 are not adjacent<\/div><div class=\"PQ\"  id=\"PQ-1-4\">\u22202 and \u22203 are adjacent<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>\u22203 and \u22204 have a common vertex and side, the two defining characteristics of adjacent angles.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>Which angles are adjacent?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Adjacent-Angles-2.svg\" alt=\"A diagram showing three intersecting straight lines forming six angles, labeled 1 through 6 at the intersection.\" width=\"343\" height=\"277\" class=\"aligncenter size-full wp-image-274297\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">\u22201 and \u22203 <\/div><div class=\"PQ\"  id=\"PQ-2-2\">\u22205 and \u22203 <\/div><div class=\"PQ\"  id=\"PQ-2-3\">\u22201 and \u22204 <\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-4\">\u22202 and \u22203<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>\u22202 and \u22203 share one side and a vertex, which are the two necessary components of adjacent angles.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>Which angles are NOT adjacent?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\"><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Adjacent-Angles-Example-1.svg\" alt=\"A diagram shows two intersecting lines forming two adjacent angles labeled &#039;a&#039; and &#039;b&#039;.\" width=\"237.25\" height=\"156.65\" class=\"alignnone size-full wp-image-287077\"  role=\"img\" \/><\/div><div class=\"PQ\"  id=\"PQ-3-2\"><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Adjacent-Angles-Example-2.svg\" alt=\"Diagram showing three intersecting lines forming two adjacent angles labeled &quot;a&quot; and &quot;b&quot; at a common vertex.\" width=\"237.25\" height=\"156.65\" class=\"alignnone size-full wp-image-287080\"  role=\"img\" \/><\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-3\"><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Adjacent-Angles-Example-3.svg\" alt=\"A diagram showing two parallel lines with a transversal forming angles labeled &quot;a&quot; and &quot;b&quot; on opposite sides of the transversal.\" width=\"237.25\" height=\"156.65\" class=\"alignnone size-full wp-image-287083\"  role=\"img\" \/><\/div><div class=\"PQ\"  id=\"PQ-3-4\"><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Adjacent-Angles-Example-4.svg\" alt=\"A diagram showing two intersecting lines forming two adjacent angles labeled &quot;a&quot; and &quot;b&quot;.\" width=\"237.25\" height=\"156.65\" class=\"alignnone size-full wp-image-287086\"  role=\"img\" \/><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Although \u2220a and \u2220b share a common side, they have two different vertices. Therefore, they are not adjacent.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>Juan is studying leaf veins and notices adjacent angles in the plant structure. He draws the diagram below and records four pairs of adjacent angles. One of Juan\u2019s adjacent angle pairs is incorrect. Based on the diagram, which pair of angles is NOT adjacent? <\/p>\n<p><img decoding=\"async\" class=\" wp-image-70238 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/lines-with-7-points.png\" alt=\"lines with 7 points\" width=\"363.4\" height=\"175.95\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/lines-with-7-points.png 1411w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/lines-with-7-points-300x145.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/lines-with-7-points-1024x496.png 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/lines-with-7-points-768x372.png 768w\" sizes=\"(max-width: 1411px) 100vw, 1411px\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">\u2220GDI and \u2220WDI<\/div><div class=\"PQ\"  id=\"PQ-4-2\">\u2220HEO and \u2220OED<\/div><div class=\"PQ\"  id=\"PQ-4-3\">\u2220EDG and \u2220GDI<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-4\">\u2220DEO and \u2220WDI <\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>\u2220DEO and \u2220WDI are not adjacent angles. They do not share a side or a vertex.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>Keisha and James are looking at a map of city streets and notice a lot of adjacent angles. James draws the image shown to illustrate the angles they find. Keisha points out that \u2220AOE and \u2220COD are adjacent because they share a vertex and one side. James disagrees. He says that these angles do not have a common side. Who is correct, and why?<\/p>\n<p><img decoding=\"async\" class=\" wp-image-70235 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/6-points-with-one-angle-being-a-right-angle.png\" alt=\"6 points with one angle being a right angle\" width=\"282.9\" height=\"195.5\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/6-points-with-one-angle-being-a-right-angle.png 935w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/6-points-with-one-angle-being-a-right-angle-300x207.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/6-points-with-one-angle-being-a-right-angle-768x530.png 768w\" sizes=\"(max-width: 935px) 100vw, 935px\" \/> <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-5-1\">James is correct because both angles share the same vertex but they do not have a common side. \r\n<\/div><div class=\"PQ\"  id=\"PQ-5-2\">Keisha is correct because both angles share the vertex O and line AD. <\/div><div class=\"PQ\"  id=\"PQ-5-3\">James is incorrect because \u2220AOE and \u2220COD do not have the same vertex. \r\n<\/div><div class=\"PQ\"  id=\"PQ-5-4\">Keisha is incorrect because there is no \u2220AOE shown on the map. <\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>\u2220AOE and \u2220COD share a vertex at point O but they do not share a side. Therefore, James is correct.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/geometry\/\">Return to Geometry Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Geometry Videos<\/p>\n","protected":false},"author":1,"featured_media":168551,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-70220","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-angle-videos","7":"page_category-math-advertising-group","8":"page_type-video","9":"content_type-practice-questions","10":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/70220","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=70220"}],"version-history":[{"count":6,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/70220\/revisions"}],"predecessor-version":[{"id":274291,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/70220\/revisions\/274291"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/168551"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=70220"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}