{"id":2631,"date":"2023-02-22T18:08:52","date_gmt":"2023-02-22T12:38:52","guid":{"rendered":"https:\/\/www.tutoroot.com\/blog\/?p=2631"},"modified":"2024-12-20T09:22:51","modified_gmt":"2024-12-20T03:52:51","slug":"what-is-angle-types-examples-diagrams","status":"publish","type":"post","link":"https:\/\/www.tutoroot.com\/blog\/what-is-angle-types-examples-diagrams\/","title":{"rendered":"What is Angle? Types, Examples, Diagrams"},"content":{"rendered":"<h2><b><span data-contrast=\"auto\">What is an Angle?<\/span><\/b><\/h2>\n<p><span data-contrast=\"auto\">In a straight line when another straight line intersects at a shared terminal, an angle is generated. An angle&#8217;s vertex is the common point of contact. Angle is derived from the Latin word angulus, which means &#8220;corner.&#8221;<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h2><b><span data-contrast=\"auto\">Types of Angles<\/span><\/b><\/h2>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559683&quot;:0,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Acute angle<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559683&quot;:0,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Obtuse angle<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559683&quot;:0,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">Right angle<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559683&quot;:0,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\"><span data-contrast=\"auto\">Reflex angle<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559683&quot;:0,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"5\" data-aria-level=\"1\"><span data-contrast=\"auto\">Straight angle<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<p><span data-contrast=\"auto\">An acute angle, for example, is less than 90\u00b0, whereas an obtuse angle is more than 90\u00b0. There are also some unique angle pairings. Let us go through the various sorts of angles in depth.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h3><b><span data-contrast=\"none\">Based on Direction<\/span><\/b><\/h3>\n<p><span data-contrast=\"none\">The\u00a0direction or magnitude of an angle is the rotation around the vertex that causes one of the arms to create an angle. The larger the gap between the arms, the bigger the magnitude. As an example,<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h4><b><span data-contrast=\"auto\">Acute Angle<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">An acute angle is any angle that is\u00a0descending from 90\u00b0. An acute angle is generated when two rays cross at a vertex and form an angle smaller than 90\u00b0. Acute angles include 20\u00b0, 30\u00b0, 45\u00b0, and 60\u00b0. Examine the diagram, which indicates that XYZ is an acute angle.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/7\/75\/Angle_acute.svg\/640px-Angle_acute.svg.png\" alt=\"Acute Angle\" width=\"329\" height=\"220\" \/><br \/>\n<\/span><\/p>\n<h4><b><span data-contrast=\"auto\">Right Angle<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">A right angle or 90\u00b0 angle is generated when the angle formed by two rays is exactly 90\u00b0. Look at the diagram, which indicates that AOB is a right angle or a 90\u00b0 angle.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/www.onlinemath4all.com\/images\/rightaangle1.png\" alt=\"Right Angle diagram\" width=\"333\" height=\"156\" \/><\/span><\/p>\n<h4><b><span data-contrast=\"auto\">Obtuse Angle<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">Obtuse angles are those that are more than 90\u00b0 but less than 180\u00b0. In the below illustration, the angle created by the lines PQ and QR is obtuse as it includes 110\u00b0, 130\u00b0, 145\u00b0, and 165\u00b0.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/images.twinkl.co.uk\/tr\/raw\/upload\/u\/ux\/obtuse-angle-big_ver_1.png\" alt=\"Obtuse Angle diagram\" width=\"278\" height=\"238\" \/><\/p>\n<h4><b><span data-contrast=\"auto\">Straight Angle<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">A straight angle is a straight line, as the name implies, and the angle created between two rays is precisely equal to 180\u00b0. The two\u00a0lines are opposite each other at a straight angle. A straight angle is made by joining two adjacent right angles, or two right angles make up a straight angle. In the diagram given below, SRT represents a 180\u00b0 angle or a straight angle.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/user-images.githubusercontent.com\/17547686\/31929586-4efbd912-b8a5-11e7-8f43-5d73cca6e2eb.png\" alt=\"Straight Angle diagram\" width=\"341\" height=\"151\" \/><\/p>\n<h4><b><span data-contrast=\"auto\">Angle of Reflex<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">A reflex angle is an angle that is more than 180\u00b0 but less than 360\u00b0. ABC is a reflex angle that includes 210\u00b0, 250\u00b0, and 310\u00b0.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/www.mathematics-monster.com\/images5\/reflex_angle.jpg\" alt=\"Angle of Reflex diagram\" width=\"298\" height=\"198\" \/><\/p>\n<h4><b><span data-contrast=\"auto\">The angle of Total Rotation<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">A full rotation angle is generated when one of the angle&#8217;s arms completes a full revolution or 360\u00b0. MNR = 360\u00b0 in the figure and is referred to as a complete rotation angle.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/www.mathematics-monster.com\/images5\/full_angle_table.jpg\" alt=\"The angle of Total Rotation diagram\" width=\"245\" height=\"157\" \/><\/span><\/p>\n<h3><b><span data-contrast=\"auto\">Based on Rotation<\/span><\/b><\/h3>\n<p><span data-contrast=\"auto\">The next type of angle is dependent on the rotational direction of angles. Let us look at angle kinds based on rotation.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/www.andrews.edu\/~rwright\/Precalculus-RLW\/Images\/04-01F02b.png\" alt=\"Positive and Negative Angle diagram\" width=\"241\" height=\"242\" \/><\/p>\n<h4><b><span data-contrast=\"auto\">Positive Angles<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">Positive angles are those in which angles are turned counter-clockwise or anti-clockwise from the base. In the diagram below, a positive angle is generated when side 1(AB) is turned anti-clockwise by an angle.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h4><b><span data-contrast=\"auto\">Negative Angles<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">Angles that are turned clockwise from the base are considered negative angles. In the diagram below, when side 1 (DE) is rotated clockwise by an angle, a negative angle is generated.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h3><b><span data-contrast=\"auto\">What is a Pair of Angles?<\/span><\/b><\/h3>\n<p><span data-contrast=\"auto\">When two lines share a similar terminus, known as a vertex, an angle is produced between them, which is known as a pair of angles.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h3><b><span data-contrast=\"auto\">Pair of Angle Types<\/span><\/b><\/h3>\n<p><span data-contrast=\"auto\">There are different pairs of angles, such as<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h4><b><span data-contrast=\"auto\">Complementary angles<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">When the total of two angles equals 90\u00b0, they are referred to be complementary angles. The two angles can be up to 90\u00b0. For instance, the two angles may be 30\u00b0 and 60\u00b0. In this case, one angle is the complement of the other.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/encrypted-tbn0.gstatic.com\/images?q=tbn:ANd9GcRej12ssCOp50qXYMOcj6TVcbZfy6IGaSFx545mYBNEfxXhTI30oh3Pwu62BfGSdwpU0HU&amp;usqp=CAU\" alt=\"Complementary Angles diagram\" width=\"334\" height=\"151\" \/><\/p>\n<h4><b><span data-contrast=\"auto\">Supplementary angles<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">When the total of two angles equals 180\u00b0, they are referred to as supplementary angles. When the two angles are combined, they equal 180\u00b0. For example, 110\u00b0 and 70\u00b0 combine to get 180\u00b0. As a result, these two perspectives are considered to be supplementary. In this case, one perspective supplements another. For example, the 60\u00b0 supplement is (180\u00b0 &#8211; 60\u00b0), which equals 120\u00b0.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/www.onlinemath4all.com\/images\/complementaryangles.png\" alt=\"Supplementary angles diagram\" width=\"334\" height=\"151\" \/><\/p>\n<h4><b><span data-contrast=\"auto\">Linear Pair<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">Linear pairs are formed when the non-common arms of neighbouring angles are exactly opposite to each other or extend in the opposite direction. They form a straight line when defined as linear.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/www.sanfoundry.com\/wp-content\/uploads\/2021\/01\/mathematics-questions-answers-linear-pair-angles-q2.png\" alt=\"Linear Pair angle diagram\" width=\"262\" height=\"108\" \/><\/p>\n<h4><b><span data-contrast=\"auto\">Adjacent angles<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">When two angles are joined by one common arm and have one common vertex, and the non-common arms are on each side of the same arm, they are referred to as neighbouring angles.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/cdn-academy.pressidium.com\/academy\/wp-content\/uploads\/2021\/03\/angle-a-and-b-.png\" alt=\"Adjacent angles diagram\" width=\"339\" height=\"223\" \/><\/p>\n<h4><b><span data-contrast=\"auto\">Vertically Opposite angles<\/span><\/b><\/h4>\n<p><span data-contrast=\"auto\">When two lines cross, the angles opposite each other are equal and are referred to as vertical angles, also known as vertically opposite angles.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/encrypted-tbn0.gstatic.com\/images?q=tbn:ANd9GcTo6l8k3YkLlHx_JZataFoZSgsfef-nlrHUpAFtwsv9VQoy9HBPLU_Q3A_yCc1CPKMgOaM&amp;usqp=CAU\" alt=\"Vertically Opposite Angles diagram\" width=\"264\" height=\"191\" \/><\/span><\/p>\n<h2><strong>Final Notes<\/strong><\/h2>\n<p><span data-contrast=\"auto\">Understanding angles and the many types of angles will help you solve many difficult problems. Join\u00a0 Tutoroot&#8217;s <a href=\"https:\/\/www.tutoroot.com\/maths-online-tuition\"><strong>Maths Online Tuition Classes<\/strong><\/a> to get personalised help understanding it completely.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-teams=\"true\">For more simplified explanations like the one above, visit the Maths blogs on the Tutoroot website. Elevate your learning with Tutoroot\u2019s personalised Maths online tuition. Begin your journey with a FREE DEMO session and discover the advantages of <a href=\"https:\/\/www.tutoroot.com\/\"><strong>online tuition platform<\/strong><\/a>.<\/span><\/p>\n<h2><strong>FAQ&#8217;s<\/strong><\/h2>\n<p><strong>How many types of angles are there?<\/strong><br \/>\nAngles are classified into five categories based on their direction.<\/p>\n<p><strong>What are the Parts of an Angle?<\/strong><br \/>\nAn angle&#8217;s components are the vertex and the two arms that form the angle.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is an Angle? In a straight line when another straight line intersects at a shared terminal, an angle is generated. An angle&#8217;s vertex is the common point of contact. &hellip; <a href=\"https:\/\/www.tutoroot.com\/blog\/what-is-angle-types-examples-diagrams\/\" class=\"more-link\">Read More<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[15],"tags":[62,102,112],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is Angle? Types, Examples, Diagrams<\/title>\n<meta name=\"description\" content=\"Visit here to learn the concept of angles along with the types of angles and their diagrams. 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