{"id":48169,"date":"2023-10-28T17:43:23","date_gmt":"2023-10-28T12:13:23","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=48169"},"modified":"2023-11-10T12:11:07","modified_gmt":"2023-11-10T06:41:07","slug":"types-of-angles","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/types-of-angles\/","title":{"rendered":"Types of Angles (Acute, Obtuse, Right, Straight, Reflex) | Definitions, Explanation &#038; Examples"},"content":{"rendered":"<p>In geometry, you will various math concepts like Angles, Lines, Shapes, Area and Perimeter, etc. Today, we will discuss completely the concept named <strong>Angles<\/strong> and its types. Based on measurements, there are various types of angles. Usually, an angle is measured in degrees and it is one of the core concepts of geometry in Maths. Are you excited to learn deeply about the topic called Angle? Then, refer to the below modules thoroughly and know what is an angle, what are the Types of Angles, definitions, figures, and some solved examples.<\/p>\n<h2>What is an Angle?<\/h2>\n<p>An Angle is a geometrical shape formed when two rays join with a common end-point. &#8220;side and vertex&#8217; are the two components of an angle. Angles are classified based on their measures.<\/p>\n<h3>Parts of Angle<\/h3>\n<ul>\n<li><em>Vertex \u2013<\/em> Point where the arms meet.<\/li>\n<li><em>Arms \u2013<\/em> Two straight line segments form a vertex.<\/li>\n<li><em>Angle \u2013<\/em> When a ray turn about its endpoint, the measure of its rotation between its initial and final position is called Angle.<\/li>\n<\/ul>\n<p>If these two ray joins in various fashions to form a various type of angles in maths. Let&#8217;s, start learning what are the different types of angles and their definitions and figures.<\/p>\n<h3>Classification of Angles<\/h3>\n<p>In nature, there are several types of angles that exist. Each and every angle of them hold great value in our everyday living standards.<\/p>\n<p>Basically, Angles are classified on the basis of:<\/p>\n<ul>\n<li>Magnitude<\/li>\n<li>Rotation<\/li>\n<\/ul>\n<h3>Types of Angles Based on Magnitude<\/h3>\n<p>In maths, mainly, there are 6 types of angles on the basis of direction. And also, all these six angle types are commonly used in geometry. The names of different angles types are as follows:<\/p>\n<ul>\n<li>Acute Angle<\/li>\n<li>Obtuse Angle<\/li>\n<li>Right Angle<\/li>\n<li>Straight Angle<\/li>\n<li>Reflex Angle<\/li>\n<li>Complete Angle<\/li>\n<\/ul>\n<p>The below image illustrates specific types of angles based on magnitude:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-48475 aligncenter\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/types-of-angles.jpg\" alt=\"types of angles\" width=\"300\" height=\"167\" \/><\/p>\n<h4>1. Acute Angle:<\/h4>\n<p>An acute angle is an angle that lies between 0 degrees to 90 degrees. In other words, an angle is less than 90\u00b0 is called an acute angle.<\/p>\n<p>Illustration:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-48481\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/acute-angle-figure.png\" alt=\"acute angle figure\" width=\"400\" height=\"198\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/acute-angle-figure.png 421w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/acute-angle-figure-300x148.png 300w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>\u2220XYZ is greater than 0\u00b0 but less than 90\u00b0 so, this is an acute angle type.<\/p>\n<h4>2. Obtuse Angle:<\/h4>\n<p>Opposite of the Acute angle is called Obtuse Angle. In other words, the angle that lies between 90 degrees and 180 degrees is known as the obtuse angle.<\/p>\n<p>Illustration:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-48485\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/obtuse-angle-figure.png\" alt=\"obtuse angle figure\" width=\"400\" height=\"211\" \/><\/p>\n<h4>3. Right Angle:<\/h4>\n<p>An angle that measures at exactly 90 degrees is called a right angle. Basically, it forms when two lines are perpendicular to each other. See the below-illustrated figure of a right angle.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-48630\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/right-angle-figure.png\" alt=\"right angle figure\" width=\"400\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/right-angle-figure.png 669w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/right-angle-figure-300x54.png 300w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<h4>4. Straight Angle:<\/h4>\n<p>An angle that measures 180\u00b0 is known as Straight angle. The following figure illustrated the straight angle.<\/p>\n<p><img loading=\"lazy\" class=\"alignleft wp-image-48633\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/straight-angle-figure.png\" alt=\"straight angle figure\" width=\"400\" height=\"88\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/straight-angle-figure.png 379w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/straight-angle-figure-300x66.png 300w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<h4>5. Reflex Angle:<\/h4>\n<p>The angle that lies between 180 degrees and 360 degrees is called a reflex angle. If you want to calculate the reflex angle then you must require an acute angle. The below figure illustrates the reflex angle.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-48632\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/reflex-angle-figure.png\" alt=\"reflex angle figure\" width=\"400\" height=\"225\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/reflex-angle-figure.png 350w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/reflex-angle-figure-300x169.png 300w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<h4>6. Complete Angle:<\/h4>\n<p>An angle measured 360 degrees is called a Complete Angle. 1 Revolution is equal to 360\u00b0 and the illustration of the complete angle is as shown in the below figure:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-48636\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/complete-angle-figure.png\" alt=\"complete angle figure\" width=\"400\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/complete-angle-figure.png 476w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/complete-angle-figure-300x54.png 300w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<h3>Solved Examples on Types of Angles<\/h3>\n<p>1. The sum of three angles is (x+6), (x -4), and (x + 8) forms a right angle. Find the value of x.<\/p>\n<p>Solution:<\/p>\n<p>\u21d2 (x+6) + (x-4) + (x+8) = 90<\/p>\n<p>\u21d2 3x + 10 = 90<\/p>\n<p>\u21d2 3x = 80<\/p>\n<p>x = 26<\/p>\n<p>Therefore, the value of x is 26 degrees.<\/p>\n<p>2. A certain angle is such that, two times the sum of its size and 70\u00b0 is 90\u00b0. What is the name of this angle?<\/p>\n<p>Solution:<\/p>\n<p>The angle be x\u00b0<\/p>\n<p>\u21d2 2(x + 70\u00b0) = 90\u00b0<\/p>\n<p>\u21d2 2x + 140\u00b0 = 90\u00b0<\/p>\n<p>\u21d2 2x = 50\u00b0<\/p>\n<p>x = 25\u00b0<\/p>\n<p>The angle is 25\u00b0<\/p>\n<p>Since 25\u00b0 is less than 90\u00b0, so the type of the angle is an <strong>Acute angle.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In geometry, you will various math concepts like Angles, Lines, Shapes, Area and Perimeter, etc. Today, we will discuss completely the concept named Angles and its types. Based on measurements, there are various types of angles. Usually, an angle is measured in degrees and it is one of the core concepts of geometry in Maths. &#8230; <a title=\"Types of Angles (Acute, Obtuse, Right, Straight, Reflex) | Definitions, Explanation &#038; Examples\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/types-of-angles\/\" aria-label=\"More on Types of Angles (Acute, Obtuse, Right, Straight, Reflex) | Definitions, Explanation &#038; Examples\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/48169"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=48169"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/48169\/revisions"}],"predecessor-version":[{"id":92569,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/48169\/revisions\/92569"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=48169"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=48169"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=48169"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}