{"id":153922,"date":"2022-03-25T22:57:40","date_gmt":"2022-03-25T17:27:40","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/obtuse-angle\/"},"modified":"2025-07-30T14:42:14","modified_gmt":"2025-07-30T09:12:14","slug":"obtuse-angle","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/obtuse-angle\/","title":{"rendered":"Obtuse Angle- Introduction"},"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\/obtuse-angle\/#What_is_an_Obtuse_Angle\" title=\"What is an Obtuse Angle?\">What is an Obtuse Angle?<\/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\/obtuse-angle\/#Obtuse_Angle_Degree\" title=\"Obtuse Angle Degree\">Obtuse Angle Degree<\/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\/obtuse-angle\/#How_to_measure_an_Obtuse_Angle\" title=\"How to measure an Obtuse Angle?\">How to measure an Obtuse Angle?<\/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\/obtuse-angle\/#Obtuse_Angles_in_Real_Life\" title=\"Obtuse Angles in Real Life\">Obtuse Angles in Real Life<\/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\/obtuse-angle\/#Obtuse_Angle_Triangle\" title=\"Obtuse Angle Triangle\">Obtuse Angle Triangle<\/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\/obtuse-angle\/#Properties_of_Obtuse_Angle_Triangle\" title=\"Properties of Obtuse Angle Triangle\">Properties of Obtuse Angle Triangle<\/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\/obtuse-angle\/#Acute_and_Obtuse_Angles\" title=\"Acute and Obtuse Angles\">Acute and Obtuse 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\/obtuse-angle\/#Difference_Between_Acute_Angles_and_Obtuse_Angle\" title=\"Difference Between Acute Angles and Obtuse Angle\">Difference Between Acute Angles and Obtuse 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\/obtuse-angle\/#Important_Points_about_the_Obtuse_Angles\" title=\"Important Points about the Obtuse Angles\">Important Points about the Obtuse 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\/obtuse-angle\/#Obtuse_Angles_Examples\" title=\"Obtuse Angles Examples\">Obtuse Angles Examples<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/obtuse-angle\/#Obtuse_Angle_Practice_Questions\" title=\"Obtuse Angle Practice Questions\">Obtuse Angle Practice Questions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/obtuse-angle\/#Obtuse_Angles_FAQs\" title=\"Obtuse Angles FAQs\">Obtuse Angles FAQs<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/obtuse-angle\/#What_is_an_obtuse_angle\" title=\"What is an obtuse angle?\">What is an obtuse angle?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/obtuse-angle\/#Can_a_triangle_have_more_than_one_obtuse_angle\" title=\"Can a triangle have more than one obtuse angle?\">Can a triangle have more than one obtuse angle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/obtuse-angle\/#What_is_an_example_of_an_obtuse_angle_in_real_life\" title=\"What is an example of an obtuse angle in real life?\">What is an example of an obtuse angle in real life?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/obtuse-angle\/#What_are_the_7_types_of_angles\" title=\"What are the 7 types of angles?\">What are the 7 types of angles?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>Obtuse Angles: An obtuse angle is an angle that measures more than 90\u00b0 but is less than 180\u00b0. A simple example of an obtuse angle in everyday life is the angle formed between the minute hand and the hour hand on a clock at specific times. In this article, we\u2019ll study the definition of an obtuse angle, its examples, and its properties.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_an_Obtuse_Angle\"><\/span>What is an Obtuse Angle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An obtuse angle is an angle that measures more than 90\u00b0 but it is lesser than 180\u00b0. In simpler words, an obtuse angle lies between a right angle (90\u00b0) and a straight angle (180\u00b0).<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-731100 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121521.png\" alt=\"What is Obtuse Angle\" width=\"728\" height=\"227\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121521.png 728w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121521-300x94.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121521-150x47.png 150w\" sizes=\"(max-width: 728px) 100vw, 728px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Obtuse_Angle_Degree\"><\/span>Obtuse Angle Degree<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>As mentioned earlier, an obtuse angle is any angle that falls within the range of 90\u00b0 to 180\u00b0. Some examples of obtuse angle measurements include 165\u00b0, 135\u00b0, 110\u00b0, 179\u00b0, and 91\u00b0. All of these angles are greater than 90\u00b0 but do not exceed 180\u00b0.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_measure_an_Obtuse_Angle\"><\/span>How to measure an Obtuse Angle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An Obtuse Angle can be measured using the Protractor. Follow the mentioned steps to find the angle.<\/p>\n<ol>\n<li>Place the centre of the Protractor at a fixed point O. This is where both the lines making the angle meet.<\/li>\n<li>Coincide the reference line on the Protractor with an arm of the angle at point O. This is the initial line (zero degrees).<\/li>\n<li>Another arm of the angle will now indicate the degree of angle formed.<\/li>\n<li>You will have to measure it from the initial hand in the anti-clockwise direction.<\/li>\n<li>If the angle we have is greater than 90 degrees and less than 180 degrees is an Obtuse angle.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Obtuse_Angles_in_Real_Life\"><\/span>Obtuse Angles in Real Life<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Obtuse angles are commonly found in everyday life. Any angle that measures between 90\u00b0 and 180\u00b0 is considered an obtuse angle. For example, you might observe obtuse angles in the open wings of a book, the angle between two walls that aren\u2019t perpendicular, or the way certain tools like scissors open.<br \/>\nHere are a few more examples of obtuse angles in real life:<\/p>\n<ol>\n<li>The angle formed between the hour and minute hands of a clock at 4 o&#8217;clock.<\/li>\n<li>The angle between the base of an open laptop and its screen.<\/li>\n<li>The angles that are created by the blades of a ceiling fan when they are tilted.<\/li>\n<\/ol>\n<p style=\"text-align: center;\"><a title=\"Join The Best Foundation Course for Class 7\" href=\"https:\/\/infinitylearn.com\/foundation-course-for-class-7\" target=\"_blank\" rel=\"noopener\"><strong><button>Join The Best Foundation Course for Class 7<\/button><\/strong><\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Obtuse_Angle_Triangle\"><\/span>Obtuse Angle Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An obtuse angle triangle is a type of triangle where one of the interior angles measures more than 90\u00b0. This characteristic distinguishes it from other types of triangles. Here are some key properties of an obtuse angle triangle:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-731101 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121542.png\" alt=\"Obtuse Angle Triangle\" width=\"535\" height=\"192\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121542.png 535w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121542-300x108.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121542-150x54.png 150w\" sizes=\"(max-width: 535px) 100vw, 535px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Obtuse_Angle_Triangle\"><\/span>Properties of Obtuse Angle Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An obtuse triangle can be either isosceles (where two sides are of equal length) or scalene (where all sides are of different lengths). However, an equilateral triangle cannot be obtuse, as all its angles measure 60\u00b0 each.<br \/>\nLongest Side: In an obtuse triangle, the side opposite the obtuse angle is the longest side.<br \/>\nAccording to the angle sum property of a triangle, a triangle cannot be both a right-angled triangle and an obtuse angle triangle simultaneously. This means that if a triangle has one obtuse angle, the other two angles must be acute (less than 90\u00b0).<br \/>\nIn an obtuse triangle, the sum of the squares of the two shorter sides is less than the square of the longest side.<\/p>\n<p style=\"text-align: center;\"><a title=\"HOTS 7\" href=\"https:\/\/infinitylearn.com\/online-courses-hots-class-7\" target=\"_blank\" rel=\"noopener\"><strong><button>Higher Order Thinking Skills for Class 7<\/button><\/strong><\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Acute_and_Obtuse_Angles\"><\/span>Acute and Obtuse Angles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Angles can be categorized based on their measurements:<\/p>\n<ul>\n<li>Acute Angles: Angles that measure less than 90\u00b0.<\/li>\n<li>Obtuse Angles: Angles that measure more than 90\u00b0 but less than 180\u00b0.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-731102 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121639.png\" alt=\"Acute and Obtuse angles\" width=\"662\" height=\"627\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121639.png 662w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121639-300x284.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-121639-150x142.png 150w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Difference_Between_Acute_Angles_and_Obtuse_Angle\"><\/span>Difference Between Acute Angles and Obtuse Angle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Acute Angle:<\/strong> The angle whose measure is less than 90\u00b0 is said to be an acute angle.<br \/>\n<strong>Obtuse Angle:<\/strong> The angle that measures more than a right angle or 90\u00b0 angle is said to be an Obtuse Angle.<\/p>\n<p>Below given is the difference between Acute Angles and Obtuse Angles.<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<th>Feature<\/th>\n<th>Details<\/th>\n<\/tr>\n<tr>\n<td>Acute Angle<\/td>\n<td>Measure of the Acute Angle is always less than 90\u00b0.<\/td>\n<\/tr>\n<tr>\n<td>Obtuse Angle<\/td>\n<td>The Measurement of the Obtuse Angle is between 90\u00b0 and 180\u00b0.<\/td>\n<\/tr>\n<tr>\n<td>Acute Angle<\/td>\n<td>A triangle can have more than one acute angle.<\/td>\n<\/tr>\n<tr>\n<td>Obtuse Angle<\/td>\n<td>A triangle cannot have more than one Obtuse Angle.<\/td>\n<\/tr>\n<tr>\n<td>Acute Angle<\/td>\n<td>An acute angle always measures less than a right angle.<\/td>\n<\/tr>\n<tr>\n<td>Obtuse Angle<\/td>\n<td>An Obtuse Angle is greater than a right angle but less than a straight angle.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Important_Points_about_the_Obtuse_Angles\"><\/span>Important Points about the Obtuse Angles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Any angle that measures more than 90\u00b0 and less than 180\u00b0 is classified as an obtuse angle.<br \/>\nObtuse Angle Triangle: In an obtuse angle triangle, the sum of the squares of the two shorter sides is less than the square of the longest side. This can be expressed mathematically as a2 + b2 &lt; c2 , where c is the longest side of the triangle.<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" style=\"width: 41.9954%;\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td style=\"text-align: center; width: 99.6528%;\" colspan=\"2\"><strong>Maths Articles List<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/mean\/\"><strong>Mean<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/50000-in-words\/\"><strong>50000 in words<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/co-prime-numbers\"><strong>Co-prime Numbers<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/perimeter-of-circle\/\"><strong>perimeter of circle<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/least-common-multiple\/\"><strong>Least Commom Multiple<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/area-of-triangles-with-3-sides\/\"><strong>Area of triangles with 3 sides<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/mean-median-and-mode\/\"><strong>Mean, Median, and Mode Formula<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/surface-area-of-cube\/\"><strong>Surface Area of Cube <\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/surface-area-of-cylinder\/\"><strong>Surface Area of Cylinder<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><strong>Centimeter to Millimeter<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/tables-21-to-30\/\"><strong>Tables 21 to 30<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/mode\/\"><strong>Mode<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/median\/\"><strong>Median<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><strong>Cubes 1 to 30<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/triviality\/\"><strong>Triviality<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><strong>Mutually Exclusive Events<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/matrix-multiplication\/\"><strong>Matrix multiplication<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/ellipse\/\"><strong>Ellipes<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/variance\/\"><strong>Variance<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><strong>Function<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/gradient\/\"><strong>Gradients<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/z-score-table\/\"><strong>Z &#8211; score table<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/difference-between-log-and-ln\/\"><strong>Difference between log and ln<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/linear-programming\/\"><strong>Linear Programming<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><strong>Central Tendency<\/strong><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-e\/\"><strong>Value of e<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/\"><strong>Value of log 2<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/poisson-distribution\"><strong>Poission Distribution<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.3889%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/differential-equations\/\"><strong>Differential Equation<\/strong><\/a><\/td>\n<td style=\"text-align: center; width: 48.2639%;\"><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/skew-symmetric-matrix\/\"><strong>Skew Symmetric Matrix<\/strong><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Obtuse_Angles_Examples\"><\/span>Obtuse Angles Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Q1. If a given angle (x) is obtuse then verify if x is obtuse if it measures as:<\/strong><\/p>\n<p>20\u00b0<br \/>\n60\u00b0<br \/>\n110\u00b0<br \/>\n105\u00b0<br \/>\n176\u00b0<\/p>\n<p>Ans. If the given angle x is obtuse, then:<\/p>\n<p>20\u00b0 &lt; 90\u00b0, therefore, x is not an obtuse angle if x = 20\u00b0.<br \/>\n60\u00b0 &lt; 90\u00b0, therefore, x is not an obtuse angle if x = 60\u00b0.<br \/>\n110\u00b0 &gt; 90\u00b0, therefore, x is an obtuse angle if x = 110\u00b0.<br \/>\n105\u00b0 &gt; 90\u00b0, therefore, x is an obtuse angle if x = 105\u00b0.<br \/>\n176\u00b0 &gt; 90\u00b0, therefore, x is an obtuse angle if x = 176\u00b0<\/p>\n<p><strong>Q2. Which angle is an Obtuse Angle?<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-731103 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-122530.png\" alt=\"Which angle is an Obtuse Angle? \" width=\"593\" height=\"186\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-122530.png 593w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-122530-300x94.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Screenshot-2024-08-29-122530-150x47.png 150w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><\/p>\n<p>Ans. Option C i.e. \u2220125 is an obtuse angle.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Obtuse_Angle_Practice_Questions\"><\/span>Obtuse Angle Practice Questions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>Check if the following angles are obtuse: 85\u00b0, 145\u00b0, 92\u00b0, 180\u00b0. Draw these angles using a protractor.<\/li>\n<li>A triangle has angles measuring 40\u00b0, 120\u00b0, and 20\u00b0. What type of triangle is it? Explain your reasoning.<\/li>\n<li>In a triangle, two of the angles measure 35\u00b0 and 105\u00b0. What is the measure of the third angle? Is this triangle an obtuse triangle?<\/li>\n<li>Identify an object in your surroundings that forms an obtuse angle. Describe the object and explain how the angle qualifies as obtuse.<\/li>\n<li>A triangle has sides measuring 7 cm, 24 cm, and 25 cm. Determine if this triangle is an obtuse triangle by applying the Pythagorean inequality.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Obtuse_Angles_FAQs\"><\/span>Obtuse Angles FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h2><span class=\"ez-toc-section\" id=\"What_is_an_obtuse_angle\"><\/span>What is an obtuse angle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\t An obtuse angle is any angle that measures more than 90\u00b0 but less than 180\u00b0.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Can_a_triangle_have_more_than_one_obtuse_angle\"><\/span>Can a triangle have more than one obtuse angle?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNo, a triangle cannot have more than one obtuse angle because the sum of all angles in a triangle is 180\u00b0, and having more than one obtuse angle would exceed this total.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_an_example_of_an_obtuse_angle_in_real_life\"><\/span>What is an example of an obtuse angle in real life?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tA common example of an obtuse angle in real life is the angle formed between the hour and minute hands of a clock at 4 o'clock. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_are_the_7_types_of_angles\"><\/span>What are the 7 types of angles?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe seven types of angles are: Acute Angle: An angle that measures less than 90\u00b0. Right Angle: An angle that measures exactly 90\u00b0. Obtuse Angle: An angle that measures more than 90\u00b0 but less than 180\u00b0. Straight Angle: An angle that measures exactly 180\u00b0. Reflex Angle: An angle that measures more than 180\u00b0 but less than 360\u00b0. Full Angle: An angle that measures exactly 360\u00b0, forming a complete circle. Zero Angle: An angle that measures exactly 0\u00b0, where the two arms of the angle coincide. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is an obtuse angle?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"An obtuse angle is any angle that measures more than 90\u00b0 but less than 180\u00b0.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Can a triangle have more than one obtuse angle?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"No, a triangle cannot have more than one obtuse angle because the sum of all angles in a triangle is 180\u00b0, and having more than one obtuse angle would exceed this total.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is an example of an obtuse angle in real life?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A common example of an obtuse angle in real life is the angle formed between the hour and minute hands of a clock at 4 o'clock.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What are the 7 types of angles?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The seven types of angles are: Acute Angle: An angle that measures less than 90\u00b0. Right Angle: An angle that measures exactly 90\u00b0. Obtuse Angle: An angle that measures more than 90\u00b0 but less than 180\u00b0. Straight Angle: An angle that measures exactly 180\u00b0. Reflex Angle: An angle that measures more than 180\u00b0 but less than 360\u00b0. Full Angle: An angle that measures exactly 360\u00b0, forming a complete circle. Zero Angle: An angle that measures exactly 0\u00b0, where the two arms of the angle coincide.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Obtuse Angles: An obtuse angle is an angle that measures more than 90\u00b0 but is less than 180\u00b0. A simple [&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":"Obtuse Angles","_yoast_wpseo_title":"What is an Obtuse Angle? 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