{"id":3594,"date":"2022-02-05T20:39:28","date_gmt":"2022-02-05T20:39:28","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3594"},"modified":"2022-02-05T20:39:28","modified_gmt":"2022-02-05T20:39:28","slug":"vertical-angles","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/vertical-angles\/","title":{"rendered":"Vertical Angles"},"content":{"rendered":"[vc_section full_width=&#8221;stretch_row&#8221; content_placement=&#8221;middle&#8221; css=&#8221;.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text]\n<h5>Vertical Angles<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the &#8220;X&#8221; formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-angle-measures\"><img loading=\"lazy\" class=\"alignnone wp-image-5764 \" style=\"margin-top: 10px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1637763043302.svg\" alt=\"\" width=\"307\" height=\"195\" \/><\/a>[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Rules[\/vc_column_text][vc_column_text]Use the given angles to determine the <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-angle-measures\">measurement of the missing angle<\/a>.[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Example[\/vc_column_text][vc_column_text]<strong>Write the value of \u2220x.<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-angle-measures\"><br \/>\n<\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-angle-measures\"><img loading=\"lazy\" class=\"alignnone wp-image-5764 \" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1637761031440.svg\" alt=\"\" width=\"291\" height=\"183\" \/><\/a>[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Solution[\/vc_column_text][vc_column_text]\u2220x is vertically opposite to <span style=\"color: #ff0000;\">117\u00b0<\/span>. Vertical angles are always congruent. Hence \u2220x = <span style=\"color: #ff0000;\">117\u00b0<\/span>.[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Practice Vertical Angles[\/vc_column_text][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 5px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Angles shown below are: <\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/angle-relationships\"><img loading=\"lazy\" class=\"alignnone wp-image-3601 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-23.png\" alt=\"\" width=\"283\" height=\"303\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-23.png 283w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-23-280x300.png 280w\" sizes=\"(max-width: 283px) 100vw, 283px\" \/><\/a>[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/angle-relationships&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=&#8221;boxxborder&#8221; css=&#8221;.vc_custom_1633368082710{margin-top: 30px !important;}&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 5px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Write the value of \u2220y.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/angle-relationships\"><img loading=\"lazy\" class=\"alignnone wp-image-3603 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-15.png\" alt=\"\" width=\"306\" height=\"220\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-15.png 306w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-15-300x216.png 300w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><\/a>[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/angle-relationships&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=&#8221;boxxborder&#8221; css=&#8221;.vc_custom_1633368082710{margin-top: 30px !important;}&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 5px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">If the measure of angle A is 41\u00b0, Write the measure of its vertical angle.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-angle-measures\"><img loading=\"lazy\" class=\"alignnone wp-image-3605 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/13-15.png\" alt=\"\" width=\"105\" height=\"41\" \/><\/a>[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-angle-measures&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=&#8221;boxxborder&#8221; css=&#8221;.vc_custom_1633368082710{margin-top: 30px !important;}&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 5px;\">Practice Problem 4<\/h5>\n<p><strong><span style=\"color: #16a085;\">Find the value of the unknown variable.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-angle-measures\"><img loading=\"lazy\" class=\"alignnone wp-image-3607 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-8.png\" alt=\"\" width=\"294\" height=\"263\" \/><\/a>[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-angle-measures&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243; css=&#8221;.vc_custom_1633369011398{margin-bottom: 50px !important;}&#8221;][vc_row_inner el_class=&#8221;stickynotee&#8221;][vc_column_inner][vc_single_image image=&#8221;2265&#8243; img_size=&#8221;full&#8221; alignment=&#8221;center&#8221; css_animation=&#8221;fadeIn&#8221; css=&#8221;.vc_custom_1633509989314{border-radius: 10px !important;}&#8221; el_class=&#8221;stickypin&#8221;][vc_column_text]An <strong>angle<\/strong> is a figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.<\/p>\n<p><strong>Vertex <\/strong>&#8211; is the point where two rays of an angle meet.<\/p>\n<p><strong>Adjacent Angles <\/strong>&#8211; Two angles are adjacent if they share a common vertex, a common side, and do not overlap.<\/p>\n<p><strong>Vertical angles<\/strong> are a pair of opposite angles formed by intersecting lines. Vertical angles are always congruent.<\/p>\n<p><strong>Supplementary angles<\/strong> are two angles whose sum is 180 degrees<\/p>\n<p><strong>Complementary angles<\/strong> are two angles whose sum is 90 degrees.<\/p>\n<p><strong>Congruent Angles<\/strong> &#8211; Two angles are said to be congruent if their corresponding sides and angles are of equal measure.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;boxxborder2&#8243;]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/Measure-Angles-G6\"><span style=\"color: #ed5600;\">Measuring Angles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/Classify-Angles-G6\"><span style=\"color: #ed5600;\">Classifying Angles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/drawing-angles\"><span style=\"color: #ed5600;\">Drawing Angles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/estimating-angles\"><span style=\"color: #ed5600;\">Estimating Angles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles\"><span style=\"color: #ed5600;\">Angles<\/span><\/a>[\/vc_column_text][vc_column_text el_class=&#8221;boxxborder2&#8243; css=&#8221;.vc_custom_1635251283086{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}&#8221;]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/classify-triangles\"><span style=\"color: #333399;\">Classify Triangles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/find-the-missing-angle-in-a-triangle\"><span style=\"color: #333399;\">Find the Missing Angle in a Triangle<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/classify-quadrilaterals1\"><span style=\"color: #333399;\">Classify Quadrilaterals<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/quadrilateral-facts-5.13.5(1)\"><span style=\"color: #333399;\">Quadrilateral Facts<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/complementary-and-supplementary-angles\"><span style=\"color: #333399;\">Complementary and Supplementary Angles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/drawing-geometric-figures\"><span style=\"color: #333399;\">Drawing Geometric Figures<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/cross-sections\"><span style=\"color: #333399;\">Cross Sections<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/lines\"><span style=\"color: #333399;\">Lines<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/geometric-proof\"><span style=\"color: #333399;\">Geometric Proof<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=&#8221;yes&#8221; el_class=&#8221;btninlinespacing&#8221;][vc_column_inner][vc_btn title=&#8221;Grade 1&#8243; color=&#8221;warning&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||&#8221;][vc_btn title=&#8221;Grade 2&#8243; color=&#8221;danger&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||&#8221;][vc_btn title=&#8221;Grade 3&#8243; color=&#8221;violet&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||&#8221;][vc_btn title=&#8221;Grade 4&#8243; color=&#8221;blue&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||&#8221;][vc_btn title=&#8221;Grade 5&#8243; color=&#8221;green&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||&#8221;][vc_btn title=&#8221;Grade 6&#8243; color=&#8221;info&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||&#8221;][vc_btn title=&#8221;Grade 7&#8243; 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color=&#8221;violet&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fmeasurement|title:Measurement||&#8221;][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=&#8221;stretch_row&#8221; content_placement=&#8221;middle&#8221; css=&#8221;.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text] Vertical Angles [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Vertical Angles | Oryx Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/vertical-angles\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Vertical Angles\" \/>\n<meta property=\"og:description\" content=\"[vc_section full_width=&#8221;stretch_row&#8221; content_placement=&#8221;middle&#8221; css=&#8221;.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text] Vertical Angles [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. 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