{"id":154418,"date":"2022-03-25T23:30:45","date_gmt":"2022-03-25T18:00:45","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/adjacent-and-vertical-angles-vertically-opposite-angles\/"},"modified":"2023-05-08T14:08:53","modified_gmt":"2023-05-08T08:38:53","slug":"adjacent-and-vertical-angles-vertically-opposite-angles","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/","title":{"rendered":"Adjacent and Vertical Angles | Vertically Opposite Angles"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/#Different_Types_of_Angles_-_Adjacent_Angle_Vertical_Angles_Notes\" title=\"Different Types of Angles &#8211; Adjacent Angle &amp; Vertical Angles Notes\">Different Types of Angles &#8211; Adjacent Angle &amp; Vertical Angles Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/#Adjacent_Angles\" title=\"Adjacent Angles\">Adjacent Angles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/#Corresponding_Angles\" title=\"Corresponding Angles:\">Corresponding Angles:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/#Triangle\" title=\"Triangle:\">Triangle:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/#Square\" title=\"Square:\">Square:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/#How_to_Find_the_Missing_Adjacent_Angle\" title=\"How to Find the Missing Adjacent Angle?\">How to Find the Missing Adjacent Angle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/#Vertically_Opposite_Angles\" title=\"Vertically Opposite Angles\">Vertically Opposite Angles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/#How_to_Find_the_Missing_Vertical_Angle\" title=\"How to Find the Missing Vertical Angle?\">How to Find the Missing Vertical Angle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/#Theoretical_Description_of_Adjacent_Angles_and_Vertical_Angles\" title=\"Theoretical Description of Adjacent Angles and Vertical Angles:\">Theoretical Description of Adjacent Angles and Vertical Angles:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/#Adjacent_Angles_Properties\" title=\"Adjacent Angles&#8217; Properties:\">Adjacent Angles&#8217; Properties:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/adjacent-and-vertical-angles\/#Difference_Between_Adjacent_and_Vertical_Angles\" title=\"Difference Between Adjacent and Vertical Angles\">Difference Between Adjacent and Vertical Angles<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Different_Types_of_Angles_-_Adjacent_Angle_Vertical_Angles_Notes\"><\/span>Different Types of Angles &#8211; Adjacent Angle &amp; Vertical Angles Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An angle is formed by two rays, emanating from a common point. The angle is measured in degrees and can be acute, right, or obtuse.<\/p>\n<p>Adjacent angles are two angles that share a common side and vertex. The measure of an adjacent angle is the sum of the measures of the two angles.<\/p>\n<p>Vertical angles are two angles that share a common vertex but do not share a common side. The measure of a vertical angle is the measure of the angles added together.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154417 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/adjacent-and-vertical-angles-vertically-opposite-angles-300x212.jpg\" alt=\"Adjacent and Vertical Angles | Vertically Opposite Angles\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/adjacent-and-vertical-angles-vertically-opposite-angles-300x212.jpg?v=1648231242 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/adjacent-and-vertical-angles-vertically-opposite-angles.jpg?v=1648231242 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Adjacent_Angles\"><\/span>Adjacent Angles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Angles that share a common vertex and have a common side are called adjacent angles. The degree measure of an adjacent angle is the sum of the degree measures of the two angles.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Corresponding_Angles\"><\/span>Corresponding Angles:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>If two lines intersect, then the angles formed where the lines intersect are called &#8220;corresponding angles.&#8221; Corresponding angles are always equal in measure.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Triangle\"><\/span>Triangle:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The triangle is a geometric figure with three sides and three angles.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Square\"><\/span>Square:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. What is the length of a side of a square?<\/p>\n<p>A side of a square is equal to the length of a side of a rectangle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_the_Missing_Adjacent_Angle\"><\/span>How to Find the Missing Adjacent Angle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The missing adjacent angle is the angle that is not adjacent to the given angle. To find the missing adjacent angle, use the following steps:<\/p>\n<p>1. Draw a line segment connecting the two given points.<\/p>\n<p>2. Extend the line segment beyond the two given points.<\/p>\n<p>3. Draw another line segment connecting the two points where the line segments intersect.<\/p>\n<p>4. The missing adjacent angle is the angle located at the end of the line segment that is not adjacent to the given angle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Vertically_Opposite_Angles\"><\/span>Vertically Opposite Angles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Vertically opposite angles are angles that are opposite each other and are formed by two intersecting lines. The angles are formed by the two lines intersecting each other and the angles are always equal.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_the_Missing_Vertical_Angle\"><\/span>How to Find the Missing Vertical Angle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find the missing vertical angle, use the Pythagorean theorem. The length of the hypotenuse is the sum of the other two sides.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Theoretical_Description_of_Adjacent_Angles_and_Vertical_Angles\"><\/span>Theoretical Description of Adjacent Angles and Vertical Angles:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Angles that are adjacent are those that share a common vertex and a common side.<br \/>\nAngles that are vertical are those that share a common vertex and a common line of symmetry.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Adjacent_Angles_Properties\"><\/span>Adjacent Angles&#8217; Properties:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Angles that share a common vertex and have the same measure are called adjacent angles.<\/p>\n<p>Angles that are adjacent angles have the following properties:<\/p>\n<p>1. The sum of the angles is 180 degrees.<\/p>\n<p>2. The angles are supplementary angles.<\/p>\n<p>3. The angles are complementary angles.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Difference_Between_Adjacent_and_Vertical_Angles\"><\/span>Difference Between Adjacent and Vertical Angles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The main difference between adjacent and vertical angles is that adjacent angles are angles that share a common vertex and side, whereas vertical angles are angles that are opposite each other and share a common vertex.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Different Types of Angles &#8211; Adjacent Angle &amp; Vertical Angles Notes An angle is formed by two rays, emanating from [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Adjacent and Vertical Angles | Vertically Opposite Angles","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"The angles that have a common arm and vertex are called adjacent angles. 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