{"id":36203,"date":"2023-11-18T15:23:15","date_gmt":"2023-11-18T15:23:15","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=36203"},"modified":"2023-11-22T16:40:12","modified_gmt":"2023-11-22T16:40:12","slug":"60-degree-angle-meaning-construction-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/60-degree-angle","title":{"rendered":"60-Degree Angle &#8211; Meaning, Construction, Examples, Facts, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-297873d8-236d-460c-a87c-d6bc2af66062\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/60-degree-angle#0-what-is-a-60-degree-angle>What Is a 60-Degree angle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/60-degree-angle#2-how-to-construct-a-60-degree-angle>How to Construct a 60-Degree Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/60-degree-angle#3-equilateral-triangle-60-degree-angle-triangle>Equilateral Triangle: 60-Degree Angle Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/60-degree-angle#7-solved-examples-on-a-60-degree-angle>Solved Examples on a 60-Degree Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/60-degree-angle#8-practice-problems-on-a-60-degree-angle>Practice Problems on a 60-Degree Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/60-degree-angle#9-frequently-asked-questions-about-a-60-degree-angle>Frequently Asked Questions about a 60-Degree Angle<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-60-degree-angle\">What Is a 60-Degree angle?<\/h2>\n\n\n\n<p><strong>A 60-degree angle is an angle that represents one-sixth of a complete angle (<\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\"><strong>a circle<\/strong><\/a><strong>). It is an <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-angle#:~:text=Acute%20angles%20measure%20less%20than,Right%20Angle\"><strong>acute angle<\/strong><\/a><strong> since the angle measure is less than 90 degrees (<\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\"><strong>a right angle<\/strong><\/a><strong>). A 60-degree angle is expressed as <\/strong>$\\frac{\\pi}{3}$<strong> in radians.<\/strong><\/p>\n\n\n\n<p>What does a 60-degree angle look like? Let\u2019s see!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"344\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/60-degree-angle-on-a-protractor.png\" alt=\"60-degree angle on a protractor\" class=\"wp-image-36209\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/60-degree-angle-on-a-protractor.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/60-degree-angle-on-a-protractor-300x166.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>What is an angle?<\/strong><\/li>\n<\/ul>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\">Angle<\/a> is a geometric figure formed by two <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/ray\">rays<\/a> sharing a common endpoint called <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/vertex\">vertex<\/a>. The two rays are called the arms or sides of the angle.&nbsp;<\/p>\n\n\n\n<p>An angle is measured in degrees (represented by symbol \u00b0) or radians (abbreviated as rad). There are various types of angles like acute angle, obtuse angle, right angle, etc., based on the angle measure.&nbsp;<\/p>\n\n\n\n<p>If we divide a circle in 6 equal parts, the angle made at the center by each sector is 60<sup>o<\/sup>. Thus, it represents one-sixth of 360<sup>o<\/sup> angle, a complete circle. Take a look at the given diagram to observe a 60-degree angle in a circle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"624\" height=\"365\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/60-degree-angle-one-sixth-of-a-complete-angle.png\" alt=\"60-degree angle - one-sixth of a complete angle\" class=\"wp-image-36210\" title=\"60-degree angle - one-sixth of a complete angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/60-degree-angle-one-sixth-of-a-complete-angle.png 624w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/60-degree-angle-one-sixth-of-a-complete-angle-300x175.png 300w\" sizes=\"auto, (max-width: 624px) 100vw, 624px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-the-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_add_angles_pt.png\" alt=\"Add the Angles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add the Angles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/answer-questions-related-to-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_tri_on_side_pt.png\" alt=\"Answer Questions Related to Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Answer Questions Related to Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-triangles-and-rectangles-as-closed-shape\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_triangle_rectangle_2_pt.png\" alt=\"Classify Triangles and Rectangles as Closed Shape Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Triangles and Rectangles as Closed Shape Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_triangles_pt.png\" alt=\"Classify Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-in-multiples-of-10-degrees\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_1_pt.png\" alt=\"Draw Angles in Multiples of 10 Degrees Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles in Multiples of 10 Degrees Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-nearest-5-and-1-degrees\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_2_pt.png\" alt=\"Draw Angles Nearest 5 and 1 Degrees Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles Nearest 5 and 1 Degrees Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-using-a-protractor\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_protractor_pt.png\" alt=\"Draw Angles Using a Protractor Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles Using a Protractor Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-right-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_identify_right_angle_1_pt.png\" alt=\"Find Right Angles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Right Angles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-the-squared-and-the-rectangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_rectangle_2_pt.png\" alt=\"Find the Perimeter of the Squared and the Rectangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Perimeter of the Squared and the Rectangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-angles-by-their-types\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_types_of_angle_pt.png\" alt=\"Identify Angles by their Types Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Angles by their Types Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-meaning-of-60-degree-angle\">Meaning of 60-Degree angle<\/h2>\n\n\n\n<p>When two rays come together at a vertex, they create an angle. When we rotate the initial ray by 60 degrees, it results in the formation of a 60-degree angle. This angle measures the amount of rotation or deviation from the initial direction.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"287\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/formation-of-an-angle.png\" alt=\"Formation of an angle\" class=\"wp-image-36211\" title=\"Formation of an angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/formation-of-an-angle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/formation-of-an-angle-300x139.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/count-sides-and-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/count-sides-and-angles.jpeg\" alt=\"Count Sides and Angles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/division-by-6-within-60\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/division-by-6-within-60.jpeg\" alt=\"Division by 6 within 60\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/rectangles-and-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/rectangles-and-triangles.jpeg\" alt=\"Rectangles and Triangles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/separate-out-the-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/separate-out-the-triangles.jpeg\" alt=\"Separate Out the Triangles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-how-to-construct-a-60-degree-angle\">How to Construct a 60-Degree Angle<\/h2>\n\n\n\n<p>Constructing an angle is the most basic and important skill in geometry. The 60-degree angle can very easily be constructed by using a protractor. It is also the easiest angle to draw using a ruler and compass (without using a protractor).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>How to Construct a 60-degree angle Using a Protractor<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Let us construct a 60-degree angle with the help of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/protractor\">protractor<\/a>.<\/p>\n\n\n\n<p><strong>Step 1<\/strong>: Draw a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line-segment\">line segment<\/a> OP of a suitable length. Align the center of the protractor with the point O such that the baseline of the protractor aligns with the line segment OP.<\/p>\n\n\n\n<p><strong>Step 2<\/strong>: Look for 60 degrees reading on the inner scale. Mark a dot and name it Q.<\/p>\n\n\n\n<p><strong>Step 3<\/strong>: Join O and Q.&nbsp;<\/p>\n\n\n\n<p>Thus, m\u2220POQ = 60<sup>o<\/sup><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"390\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-a-60-degree-angle-using-a-protractor.png\" alt=\"Constructing a 60-degree angle using a protractor\" class=\"wp-image-36212\" title=\"Constructing a 60-degree angle using a protractor\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-a-60-degree-angle-using-a-protractor.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-a-60-degree-angle-using-a-protractor-300x189.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>How to Construct a 60-Degree Angle Using a Ruler and Compass<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Let us construct a 60-degree angle with the help of a ruler and a compass.<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Using a ruler draw a line segment QR of any convenient length.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Take the compass and open it up to a convenient radius. Place its pointer at Q and with the pencil-head make an arc which meets the line QR at say, Y.&nbsp;<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Keeping the width unchanged, place the tip of the compass on the point Y and draw another arc which passes through P and cut the arc drawn in the previous step at some point (say X).<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Connect the points Q and X with a straight line and extend it to form a ray QP.<\/p>\n\n\n\n<p>Hence, the required \u2220PQR = \u2220XQY = 60<sup>o<\/sup>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"400\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-a-60-degree-angle-using-a-compass.png\" alt=\"Constructing a 60-degree angle using a compass\" class=\"wp-image-36213\" title=\"Constructing a 60-degree angle using a compass\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-a-60-degree-angle-using-a-compass.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-a-60-degree-angle-using-a-compass-300x194.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-equilateral-triangle-60-degree-angle-triangle\">Equilateral Triangle: 60-Degree Angle Triangle<\/h2>\n\n\n\n<p>All sides of an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equilateral-triangle\">equilateral triangle<\/a> are equal and angles are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/congruent\">congruent<\/a>. The measure of each angle of an equilateral triangle is 60\u00b0. Therefore, it is also called a \u201c60-degree angle triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"623\" height=\"416\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/Interior-angles-of-an-equilateral-triangle.png\" alt=\"Interior angles of an equilateral triangle\" class=\"wp-image-36214\" title=\"Interior angles of an equilateral triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/Interior-angles-of-an-equilateral-triangle.png 623w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/Interior-angles-of-an-equilateral-triangle-300x200.png 300w\" sizes=\"auto, (max-width: 623px) 100vw, 623px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-60-degree-angles-around-us\">60-Degree Angles Around Us<\/h2>\n\n\n\n<p>There are many real-life examples of a 60-degree angle.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When the analog clock reads 02:00, the angle formed between the minute hand and the hour hand is also a 60-degree angle.<\/li>\n\n\n\n<li>If a round cake or a pizza is cut in 6 equal pieces, then 1 piece represents a 60-degree angle at the center.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"365\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/real-life-examples-of-60-degree-angles.png\" alt=\"Real-life examples of 60-degree angles\" class=\"wp-image-36215\" title=\"Real-life examples of 60-degree angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/real-life-examples-of-60-degree-angles.png 622w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/real-life-examples-of-60-degree-angles-300x176.png 300w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-facts-about-a-60-degree-angle\">Facts about a 60-Degree Angle<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>In <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/geometry\">geometry<\/a>, an angle that measures 60 degrees is an acute angle.<\/li>\n\n\n\n<li>The angle of 30 degrees can be constructed by bisecting the angle of 60 degrees.<\/li>\n\n\n\n<li>In an equilateral triangle, all the angles of the triangle are equal to 60 degrees.<\/li>\n\n\n\n<li>A negative 60-degree angle is the angle of 60 degrees measured in the counterclockwise direction, below the x-axis.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about a 60-degree angle, the definition and meaning, and its construction using a protractor and a compass. We also discussed some real-life examples of this acute angle. Let\u2019s solve some examples and practice MCQs for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-a-60-degree-angle\">Solved Examples on a 60-Degree Angle<\/h2>\n\n\n\n<p><strong>Example 1: What is the measurement of one-third of a <\/strong>180<sup>o<\/sup><strong> angle?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>One-third of 180<sup>o<\/sup> angle $= \\frac{180^{\\circ}}{3} = 60^{\\circ}$<\/p>\n\n\n\n<p>One-third of a 180<sup>o<\/sup> angle is a\u00a0 60<sup>o<\/sup> angle.<\/p>\n\n\n\n<p><strong>Example 2:<\/strong> <strong>How many 60-degree angles make a complete angle?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Observe the given image. An angle of 60 degrees is an angle that represents one-sixth of a complete angle. Complete angle is a 360-degree angle. So, a total of six 60-degree angles are present in one complete angle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"355\" height=\"302\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle.png\" alt=\"360-degree angle\" class=\"wp-image-36216\" title=\"360-degree angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle.png 355w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle-300x255.png 300w\" sizes=\"auto, (max-width: 355px) 100vw, 355px\" \/><\/figure>\n\n\n\n<p><strong>Example 3: Construct an angle of 60 degrees using a protractor.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw a line segment of any measure. Now, place the center of the protractor on point A such that the line segment AB&nbsp; is aligned with the baseline of the protractor.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/li>\n\n\n\n<li>Now, look for the 60\u00b0 marking in the inner scale of the protractor and mark a point C with a dot. Join A and C.<\/li>\n\n\n\n<li>\u00a0m\u2220CAB = 60<sup>o<\/sup><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"257\" height=\"165\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constructing-a-60angle-using-a-protractor.png\" alt=\"Constructing a 60angle using a protractor\" class=\"wp-image-36217\" title=\"Constructing a 60angle using a protractor\"\/><\/figure>\n\n\n\n<p><strong>Example 4: Construct an equilateral triangle without constructing a 60-degree angle.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>An equilateral triangle has all sides congruent and all angles are 60<sup>o<\/sup>. Let\u2019s construct an equilateral triangle with each side 6 cm in length.<\/p>\n\n\n\n<p>1) Draw a line segment QR with length 6 cm.<\/p>\n\n\n\n<p>2) Taking 6 cm as radius and Q as a center, draw an arc with the help of a compass.<\/p>\n\n\n\n<p>3) Taking 6 cm as radius and R as a center, draw another arc that intersects the previous arc at the point P.<\/p>\n\n\n\n<p>4) Join PQ and PR.<\/p>\n\n\n\n<p>\u25b3PQR is an equilateral triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"248\" height=\"225\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/construction-of-an-equilateral-triangle.png\" alt=\"Construction of an equilateral triangle\" class=\"wp-image-36218\" title=\"Construction of an equilateral triangle\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-a-60-degree-angle\">Practice Problems on a 60-Degree Angle<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">60-Degree Angle - Meaning, Construction, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">A 60-degree angle is an _____angle.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Acute Angle<\/div><div class=\"spq_answer_block\" data-value=\"1\">Right Angle<\/div><div class=\"spq_answer_block\" data-value=\"2\">Straight Angle<\/div><div class=\"spq_answer_block\" data-value=\"3\">Obtuse Angle<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Acute Angle<br\/>A 60-degree angle is an acute angle, which means it is less than 90 degrees.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">An acute-angled triangle has one 60-degree angle. What is the sum of the measures of the other two angles?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$300^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$60^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$120^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $120^{\\circ}$<br\/>The sum of all angles in a triangle $= 180^{\\circ}$<br>\r\nThe sum of the measures of the other two angles $= 180^{\\circ} \\;-\\; 60^{\\circ} = 120^{\\circ}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The time on an analog clock when the hour and minute hand make a 60-degree angle is ________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">12 pm<\/div><div class=\"spq_answer_block\" data-value=\"1\">3 am<\/div><div class=\"spq_answer_block\" data-value=\"2\">1 pm<\/div><div class=\"spq_answer_block\" data-value=\"3\">10 am<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 10 am<br\/>Complete angle of clock is of $360^{\\circ}$. Each division on a clock represents a $30^{\\circ}$ angle.<br>\r\nThus, when it is 10 am, the hour and minute hand are separated by two divisions.<br>\r\nAngle $= 30^{\\circ} + 30^{\\circ} = 60^{\\circ}$<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-clock-reading-10-00-representing-a-60-degree-angle-between-hands.png\"><\/div><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Measure of an acute angle is  ________  the measure of a right angle.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">greater than<\/div><div class=\"spq_answer_block\" data-value=\"1\">less than<\/div><div class=\"spq_answer_block\" data-value=\"2\">equal to<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: less than<br\/>Acute angle is an angle which is less than a right angle (90 degree angle).<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Which of the following is NOT an acute angle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$60^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$30^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$45^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$90^{\\circ}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $90^{\\circ}$<br\/>Acute angles are the angles less than 90 degrees.60,45 and 30 degrees are the angles less than 90 degrees, while 90 degree is a right angle.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"60-Degree Angle - 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What is the sum of the measures of the other two angles?\",\n                    \"text\": \"An acute-angled triangle has one 60-degree angle. What is the sum of the measures of the other two angles?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The sum of all angles in a triangle $$= 180^{\\\\circ}$$<br>\r\nThe sum of the measures of the other two angles $$= 180^{\\\\circ} \\\\;-\\\\; 60^{\\\\circ} = 120^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$300^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of all angles in a triangle $$= 180^{\\\\circ}$$<br>\r\nThe sum of the measures of the other two angles $$= 180^{\\\\circ} \\\\;-\\\\; 60^{\\\\circ} = 120^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$60^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of all angles in a triangle $$= 180^{\\\\circ}$$<br>\r\nThe sum of the measures of the other two angles $$= 180^{\\\\circ} \\\\;-\\\\; 60^{\\\\circ} = 120^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of all angles in a triangle $$= 180^{\\\\circ}$$<br>\r\nThe sum of the measures of the other two angles $$= 180^{\\\\circ} \\\\;-\\\\; 60^{\\\\circ} = 120^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$120^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The sum of all angles in a triangle $$= 180^{\\\\circ}$$<br>\r\nThe sum of the measures of the other two angles $$= 180^{\\\\circ} \\\\;-\\\\; 60^{\\\\circ} = 120^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The sum of all angles in a triangle $$= 180^{\\\\circ}$$<br>\r\nThe sum of the measures of the other two angles $$= 180^{\\\\circ} \\\\;-\\\\; 60^{\\\\circ} = 120^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The time on an analog clock when the hour and minute hand make a 60-degree angle is ________.\",\n                    \"text\": \"The time on an analog clock when the hour and minute hand make a 60-degree angle is ________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Complete angle of clock is of $$360^{\\\\circ}$$. Each division on a clock represents a $$30^{\\\\circ}$$ angle.<br>\r\nThus, when it is 10 am, the hour and minute hand are separated by two divisions.<br>\r\nAngle $$= 30^{\\\\circ} + 30^{\\\\circ} = 60^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 pm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Complete angle of clock is of $$360^{\\\\circ}$$. Each division on a clock represents a $$30^{\\\\circ}$$ angle.<br>\r\nThus, when it is 10 am, the hour and minute hand are separated by two divisions.<br>\r\nAngle $$= 30^{\\\\circ} + 30^{\\\\circ} = 60^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3 am\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Complete angle of clock is of $$360^{\\\\circ}$$. Each division on a clock represents a $$30^{\\\\circ}$$ angle.<br>\r\nThus, when it is 10 am, the hour and minute hand are separated by two divisions.<br>\r\nAngle $$= 30^{\\\\circ} + 30^{\\\\circ} = 60^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1 pm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Complete angle of clock is of $$360^{\\\\circ}$$. Each division on a clock represents a $$30^{\\\\circ}$$ angle.<br>\r\nThus, when it is 10 am, the hour and minute hand are separated by two divisions.<br>\r\nAngle $$= 30^{\\\\circ} + 30^{\\\\circ} = 60^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"10 am\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Complete angle of clock is of $$360^{\\\\circ}$$. Each division on a clock represents a $$30^{\\\\circ}$$ angle.<br>\r\nThus, when it is 10 am, the hour and minute hand are separated by two divisions.<br>\r\nAngle $$= 30^{\\\\circ} + 30^{\\\\circ} = 60^{\\\\circ}$$ <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-clock-reading-10-00-representing-a-60-degree-angle-between-hands.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Complete angle of clock is of $$360^{\\\\circ}$$. Each division on a clock represents a $$30^{\\\\circ}$$ angle.<br>\r\nThus, when it is 10 am, the hour and minute hand are separated by two divisions.<br>\r\nAngle $$= 30^{\\\\circ} + 30^{\\\\circ} = 60^{\\\\circ}$$ <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-clock-reading-10-00-representing-a-60-degree-angle-between-hands.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Measure of an acute angle is  ________  the measure of a right angle.\",\n                    \"text\": \"Measure of an acute angle is  ________  the measure of a right angle.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Acute angle is an angle which is less than a right angle (90 degree angle).\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"greater than\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Acute angle is an angle which is less than a right angle (90 degree angle).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"equal to\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Acute angle is an angle which is less than a right angle (90 degree angle).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Acute angle is an angle which is less than a right angle (90 degree angle).\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"less than\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Acute angle is an angle which is less than a right angle (90 degree angle).\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Acute angle is an angle which is less than a right angle (90 degree angle).\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is NOT an acute angle?\",\n                    \"text\": \"Which of the following is NOT an acute angle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Acute angles are the angles less than 90 degrees.60,45 and 30 degrees are the angles less than 90 degrees, while 90 degree is a right angle.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$60^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Acute angles are the angles less than 90 degrees.60,45 and 30 degrees are the angles less than 90 degrees, while 90 degree is a right angle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$30^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Acute angles are the angles less than 90 degrees.60,45 and 30 degrees are the angles less than 90 degrees, while 90 degree is a right angle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$45^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Acute angles are the angles less than 90 degrees.60,45 and 30 degrees are the angles less than 90 degrees, while 90 degree is a right angle.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$90^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Acute angles are the angles less than 90 degrees.60,45 and 30 degrees are the angles less than 90 degrees, while 90 degree is a right angle.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Acute angles are the angles less than 90 degrees.60,45 and 30 degrees are the angles less than 90 degrees, while 90 degree is a right angle.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-frequently-asked-questions-about-a-60-degree-angle\">Frequently Asked Questions about a 60-Degree Angle<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-020c4164-51a8-46e2-af60-ec7feb2d6cc8\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-020c4164-51a8-46e2-af60-ec7feb2d6cc8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-020c4164-51a8-46e2-af60-ec7feb2d6cc8\"><strong>Why is a 60-degree angle expressed as <\/strong>$\\frac{pi}{3}$<strong> in radians?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-020c4164-51a8-46e2-af60-ec7feb2d6cc8\">\n\n<p>As we know from the formula of radians to degrees,<br>Angle in Degrees = Angle in Radians $\\times \\frac{180^{\\circ}}{\\pi}$<br>$\\frac{\\pi}{3}$ in Degrees $= \\frac{\\pi}{3} \\times 180^{\\circ}$<br>$\\frac{\\pi}{3}$ in Degrees $= \\frac{180^{\\circ}}{3}$<br>$\\frac{\\pi}{3}$ in Degrees $= 60^{\\circ}$<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-020c4164-51a8-46e2-af60-ec7feb2d6cc8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-020c4164-51a8-46e2-af60-ec7feb2d6cc8\"><strong>Can a triangle have only one acute angle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-020c4164-51a8-46e2-af60-ec7feb2d6cc8\">\n\n<p>A triangle can never have only one acute angle. If a triangle has 1 acute angle, the other angles will either be right angles or obtuse angles which is not possible as the sum of interior angles of a triangle is always 180\u00b0. So, every triangle needs to have at least 2 acute angles.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-020c4164-51a8-46e2-af60-ec7feb2d6cc8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-020c4164-51a8-46e2-af60-ec7feb2d6cc8\"><strong>What is meant by angle in standard position?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-020c4164-51a8-46e2-af60-ec7feb2d6cc8\">\n\n<p>An angle is in standard position if its vertex is located at the origin, and its initial side extends along the positive x-axis. Look at the image given below<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"333\" height=\"288\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/standard-position-of-an-angle.png\" alt=\"Standard position of an angle\" class=\"wp-image-36223\" title=\"Standard position of an angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/standard-position-of-an-angle.png 333w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/standard-position-of-an-angle-300x259.png 300w\" sizes=\"auto, (max-width: 333px) 100vw, 333px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When an angle is measured counterclockwise from the initial side to the terminal side, it is considered a positive angle.<\/li>\n\n\n\n<li>Conversely, if an angle is measured in a clockwise direction, it is classified as a negative angle.<\/li>\n\n\n\n<li>An angle in standard position between 0 degrees and 90 degrees is situated in Quadrant I, where all coordinates are positive.<\/li>\n<\/ul>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-020c4164-51a8-46e2-af60-ec7feb2d6cc8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-020c4164-51a8-46e2-af60-ec7feb2d6cc8\"><strong>What does a 60 degrees angle in standard position look like?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-020c4164-51a8-46e2-af60-ec7feb2d6cc8\">\n\n<p>An angle is said to be in the standard position if its vertex is located at the origin, and its initial side extends along the positive x-axis. In the picture given below, we can see what a 60-degree angle in a standard position looks like.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"288\" height=\"307\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-60-degree-angle-in-standard-position.png\" alt=\"A 60-degree angle in standard position\" class=\"wp-image-36224\" title=\"A 60-degree angle in standard position\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-60-degree-angle-in-standard-position.png 288w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-60-degree-angle-in-standard-position-281x300.png 281w\" sizes=\"auto, (max-width: 288px) 100vw, 288px\" \/><\/figure>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-020c4164-51a8-46e2-af60-ec7feb2d6cc8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-020c4164-51a8-46e2-af60-ec7feb2d6cc8\"><strong>Is 60 degrees a right angle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-020c4164-51a8-46e2-af60-ec7feb2d6cc8\">\n\n<p>No, an angle that measures 90 degrees is called right angle. A 60-degree angle is an acute angle.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a 60-Degree angle? A 60-degree angle is an angle that represents one-sixth of a complete angle (a circle). It is an acute angle since the angle measure is less than 90 degrees (a right angle). A 60-degree angle is expressed as $\\frac{\\pi}{3}$ in radians. What does a 60-degree angle look like? Let\u2019s see! &#8230; <a title=\"60-Degree Angle &#8211; Meaning, Construction, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/60-degree-angle\" aria-label=\"More on 60-Degree Angle &#8211; Meaning, Construction, Examples, Facts, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-36203","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/36203","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=36203"}],"version-history":[{"count":8,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/36203\/revisions"}],"predecessor-version":[{"id":36232,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/36203\/revisions\/36232"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=36203"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=36203"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=36203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}