{"id":25378,"date":"2023-02-23T17:01:47","date_gmt":"2023-02-23T17:01:47","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=25378"},"modified":"2025-02-20T10:40:52","modified_gmt":"2025-02-20T10:40:52","slug":"angle-bisector-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/angle-bisector","title":{"rendered":"Angle Bisector &#8211; Definition, Properties, Construction"},"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-0d538448-c57c-4e4d-814e-7db61a88cb1b\" 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\/angle-bisector#0-what-is-an-angle-bisector>What Is an Angle Bisector?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/angle-bisector#3-properties-of-angle-bisector>Properties of Angle Bisector<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/angle-bisector#4-how-to-construct-an-angle-bisector>How to Construct an Angle Bisector?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/angle-bisector#8-solved-examples-on-angle-bisector>Solved Examples on Angle Bisector<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/angle-bisector#9-practice-problems-on-angle-bisector>Practice Problems on Angle Bisector<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/angle-bisector#10-frequently-asked-questions-on-angle-bisector>Frequently Asked Questions on Angle Bisector<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-an-angle-bisector\">What Is an Angle Bisector?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>An angle bisector is a ray or a line that divides an angle into two equal parts<\/strong>. The word \u201cbisector\u201d implies division into two equal parts.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In the following image, $\\angle\\; \\text{ABC}$ is divided into two equal parts by the angle bisector BD.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"416\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-1.png\" alt=\"Angle bisector\" class=\"wp-image-25386\" title=\"Angle bisector\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-1.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-1-300x202.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Can you think of examples of angle bisectors in real life? Well, for starters, take a look at a large slice of a pizza cut into equal pieces. Here, the knife acted as an angle bisector. You can also find an angle bisector in a clock, when the angle is made by the minute hand and the hour hand is bisected by the second hand! Keep looking for more such angle bisector examples around you!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"618\" height=\"421\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-2.png\" alt=\"Angle bisectors in real life\" class=\"wp-image-25387\" title=\"Angle bisectors in real life\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-2.png 618w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-2-300x204.png 300w\" sizes=\"auto, (max-width: 618px) 100vw, 618px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"1-angle-bisector-definition\">Angle Bisector Definition<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The <strong>definition of an angle bisector can be given as a ray or line segment that divides the given angle into two angles of equal measure<\/strong>.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">An angle bisector of a $60^{\\circ}$ angle will divide it into two angles of $30^{\\circ}$ each. It divides an angle into two congruent angles.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"560\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-3.png\" alt=\"Angle bisector of an angle\" class=\"wp-image-25388\" title=\"Angle bisector of an angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-3.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-3-300x271.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/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 eplus-wrapper\" id=\"2-angle-bisector-in-a-triangle\">Angle Bisector in a Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Every triangle has three vertices and three angles. So, there are three-angle bisectors as well\u2014one for each vertex. The point of intersection of these three angle bisectors is called \u201cincenter,\u201d which is equidistant from the sides of a triangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In $\\Delta\\;\\text{ABC}$, the segments AF, BD, and CE are angle bisectors, and G is the incenter.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"612\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-4.png\" alt=\"Angle bisectors in a triangle\" class=\"wp-image-25389\" title=\"Angle bisectors in a triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-4.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-4-300x297.png 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-4-120x120.png 120w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/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\/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 eplus-wrapper\" id=\"3-properties-of-angle-bisector\">Properties of Angle Bisector<\/h2>\n\n\n\n<ul class=\"wp-block-list eplus-wrapper\">\n<li class=\"eplus-wrapper\">An angle bisector divides an angle into two angles of equal measure.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Any given point lying on the angle bisector is at an equal distance from the arms or sides of the angle.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The angle bisector in a triangle divides the opposite side in a ratio that is equal to the ratio of the other two sides<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-how-to-construct-an-angle-bisector\">How to Construct an Angle Bisector?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Angle bisector construction requires a ruler and a compass<\/strong>. Let\u2019s understand the steps to construct an angle bisector for an angle.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s divide given $\\angle\\;\\text{XYZ}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"406\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-5.png\" alt=\"Angle XYZ\" class=\"wp-image-25390\" title=\"Angle XYZ\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-5-300x196.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"5-steps-for-construction-of-an-angle-bisector\">Steps for Construction of an Angle Bisector<\/h3>\n\n\n\n<ol class=\"wp-block-list eplus-wrapper\">\n<li class=\"eplus-wrapper\">Using a compass, place the pointer at point Y and draw an arc that intersects the two arms of the angle, XY and YZ, at two different points.&nbsp;<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"418\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-6.png\" alt=\"Construction of angle bisector using a compass\" class=\"wp-image-25391\" title=\"Construction of angle bisector using a compass\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-6-300x202.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol start=\"2\" class=\"wp-block-list eplus-wrapper\">\n<li class=\"eplus-wrapper\">Next, place the compass pointer where the arc intersects line XY and draw another arc in the interior of the angle.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"418\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-7.png\" alt=\"\" class=\"wp-image-25392\" title=\"Steps for the construction of an angle bisector\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-7-300x202.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol start=\"3\" class=\"wp-block-list eplus-wrapper\">\n<li class=\"eplus-wrapper\">Without changing the radius of the compass, place the pointer at the point where the arc intersects the arm YZ and draw a similar arc in the interior of the angle such that it intersects the arc drawn in the previous step.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"418\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-8.png\" alt=\"Angle bisector construction steps\" class=\"wp-image-25393\" title=\"Angle bisector construction steps\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-8.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-8-300x202.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol start=\"4\" class=\"wp-block-list eplus-wrapper\">\n<li class=\"eplus-wrapper\">Now, use a ruler to draw a line from point Y to the point where the two arcs intersect at the interior of the angle.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"418\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-9.png\" alt=\"Drawing an angle bisector\" class=\"wp-image-25394\" title=\"Drawing an angle bisector\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-9.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-9-300x202.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">This is how to construct an angle bisector. The line drawn in step 5 is the angle bisector of $\\angle\\;\\text{XYZ}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-angle-bisector-theorem\">Angle Bisector Theorem<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The angle bisector theorem states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, when an angle bisector is drawn from one vertex of a triangle, and it falls on one side of such a triangle, it divides that side in the same ratio as the ratio of the other two sides. We can seek \u2018angle bisector theorem proof\u2019 by constructing such a bisector in a triangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The following image demonstrates the theorem for reference.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"531\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-10.png\" alt=\"Angle bisector theorem\" class=\"wp-image-25395\" title=\"Angle bisector theorem\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-10.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Angle-Bisector-10-300x257.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">There are many practical examples of an angle bisector, including architectural installations and more. For the construction of an angle bisector in real life, one will need a ruler and a compass. We can also prove the angle bisector theorem by constructing it in real life.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The fun practice problems and solved examples will make it easier for you to understand everything about angle bisectors in great detail. At SplashLearn, learning becomes easier with all the concepts explained in great detail. Join us on the journey to explore the world of math.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-solved-examples-on-angle-bisector\">Solved Examples on Angle Bisector<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>1. An angle bisector divides an angle of <\/strong>$80^{\\circ}$<strong>. What will be the measure of each angle?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Given that the measure of the angle is $80^{\\circ}$. We know that an angle bisector divides an angle into two equal segments. Each angle will measure $40^{\\circ}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2. For the image given below, find x if the ray OM is an angle bisector.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"425\" height=\"423\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-1-7.png\" alt=\"Applying the angle bisector property\" class=\"wp-image-25396\" title=\"Applying the angle bisector property\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-1-7.png 425w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-1-7-300x300.png 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-1-7-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-1-7-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-1-7-120x120.png 120w\" sizes=\"auto, (max-width: 425px) 100vw, 425px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong> The value of x is 8.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since OM is an angle bisector, we know that $\\text{m}\\;\\angle\\text{AOM} = \\text{m}\\angle\\;\\text{MOB}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$4x + 5 = 37$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$4x = 32$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$x = \\frac{32}{4}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$x = 8$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3. For the image given below, m<\/strong>$\\angle$<strong>AOC <\/strong>$=$<strong> m<\/strong>$\\angle$<strong>BOC. What can you say about the ray OC?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"310\" height=\"262\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-2-10.png\" alt=\"Identifying the angle bisector\" class=\"wp-image-25397\" title=\"Identifying the angle bisector\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-2-10.png 310w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-2-10-300x254.png 300w\" sizes=\"auto, (max-width: 310px) 100vw, 310px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong> In the image, m$\\angle$AOC $=$ m$\\angle$BOC.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, ray OC is an angle bisector.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>4. For the image given below, determine the value of x, if BS is an angle bisector.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"229\" height=\"206\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-3-5.png\" alt=\"Angle bisector example\" class=\"wp-image-25398\" title=\"Angle bisector example\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution: <\/strong>The value of x is 16.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, BS is the angle bisector, which bisects $\\angle\\;\\text{ABC}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">According to the angle bisector theorem, we can say that ABBC $=$ ASCS<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\Rightarrow \\frac{18}{24} = \\frac{12}{x}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\Rightarrow x = \\frac{12 \\times 24}{18}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\Rightarrow x = 16$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, $x = 16$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>5. In the image given below, if m<\/strong>$\\angle$<strong>ACF <\/strong>$=$<strong> m<\/strong>$\\angle$<strong>FCB <\/strong>$=$<strong> 40 and CF is the angle bisector, find m<\/strong>$\\angle$<strong>ACB.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"385\" height=\"334\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-4-2.png\" alt=\"Finding the missing angle measure\" class=\"wp-image-25399\" title=\"Finding the missing angle measure\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-4-2.png 385w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Solved-Examples-4-2-300x260.png 300w\" sizes=\"auto, (max-width: 385px) 100vw, 385px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We know that an angle bisector divides an angle into two equal sections.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since $\\angle\\;\\text{ACF} = \\angle\\;\\text{FCB} = 40^{\\circ}$, we can say that m$\\angle$ ACB $=$ $40^{\\circ} + 40^{\\circ} = 80^{\\circ}$<strong>.<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-practice-problems-on-angle-bisector\">Practice Problems on Angle Bisector<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Angle Bisector - Definition with Examples<\/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\">If an angle bisector divides a right angle, what will measure each angle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$45^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$90^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$180^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$50^{\\circ}$<\/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: $45^{\\circ}$<br\/>Given that the angle is right angle, we know that an angle bisector divides an angle into two equal segments. Hence, it divides the right angle into two angles of measure $\\frac{90}{2} = 45^{\\circ}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Determine the value of x if the ray OM is an angle bisector.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Practice-Problems-1-7.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">20<\/div><div class=\"spq_answer_block\" data-value=\"1\">10<\/div><div class=\"spq_answer_block\" data-value=\"2\">15<\/div><div class=\"spq_answer_block\" data-value=\"3\">30<\/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<br\/>Since OM is an angle bisector, we know that $\\angle\\;\\text{AOM}$ and $\\angle\\;\\text{MOB}$ are equal.<br>\r\n$x + 20 = 3x$<br>\r\n$3x \\;\u2013\\; x = 20$<br>\r\n$2x = 20$<br>\r\n$x = \\frac{20}{2}$<br>\r\n$x = 10$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">If an angle bisector divides an angle measuring $15^{\\circ}$, what would be the measure of the individual angles thus formed?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$8.5^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$7.5^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$20^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$35^{\\circ}$<\/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: $7.5^{\\circ}$<br\/>Each individual angle will measure half of $15^{\\circ}$, that is $7.5^{\\circ}$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The red line represents the angle bisector of a ____ angle.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Practice-Problems-2-3.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">Right angle<\/div><div class=\"spq_answer_block\" data-value=\"1\">Acute angle<\/div><div class=\"spq_answer_block\" data-value=\"2\">Straight angle<\/div><div class=\"spq_answer_block\" data-value=\"3\">Reflex 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: Straight angle<br\/>The ray bisects a straight angle into two right angles.<\/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\">Determine the value of x.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Practice-Problems-3-1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">18<\/div><div class=\"spq_answer_block\" data-value=\"1\">17<\/div><div class=\"spq_answer_block\" data-value=\"2\">14<\/div><div class=\"spq_answer_block\" data-value=\"3\">9<\/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: 9<br\/>According to the angle bisector theorem, an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.<br>\r\nThus, $\\frac{\\text{PS}{\\text{RS}} = \\frac{\\text{PQ}}{\\text{RQ}}$<br>\r\n$\\Rightarrow \\frac{6}{x} = \\frac{12}{18}$<br>\r\n\\Rightarrow x = \\frac{18 \\times 6}{12}$<br>\r\n$\\Rightarrow x = 9$<\/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\": \"Angle Bisector - Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Angle Bisector\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If an angle bisector divides a right angle, what will measure each angle?\",\n                    \"text\": \"If an angle bisector divides a right angle, what will measure each angle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Given that the angle is right angle, we know that an angle bisector divides an angle into two equal segments. Hence, it divides the right angle into two angles of measure $$\\\\frac{90}{2} = 45^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$90^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given that the angle is right angle, we know that an angle bisector divides an angle into two equal segments. Hence, it divides the right angle into two angles of measure $$\\\\frac{90}{2} = 45^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$180^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given that the angle is right angle, we know that an angle bisector divides an angle into two equal segments. Hence, it divides the right angle into two angles of measure $$\\\\frac{90}{2} = 45^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$50^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given that the angle is right angle, we know that an angle bisector divides an angle into two equal segments. Hence, it divides the right angle into two angles of measure $$\\\\frac{90}{2} = 45^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$45^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Given that the angle is right angle, we know that an angle bisector divides an angle into two equal segments. Hence, it divides the right angle into two angles of measure $$\\\\frac{90}{2} = 45^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Given that the angle is right angle, we know that an angle bisector divides an angle into two equal segments. Hence, it divides the right angle into two angles of measure $$\\\\frac{90}{2} = 45^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Determine the value of x if the ray OM is an angle bisector.\",\n                    \"text\": \"Determine the value of x if the ray OM is an angle bisector. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Practice-Problems-1-7.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Since OM is an angle bisector, we know that $$\\\\angle\\\\;\\\\text{AOM}$$ and $$\\\\angle\\\\;\\\\text{MOB}$$ are equal.<br>\r\n$$x + 20 = 3x$$<br>\r\n$$3x \\\\;\u2013\\\\; x = 20$$<br>\r\n$$2x = 20$$<br>\r\n$$x = \\\\frac{20}{2}$$<br>\r\n$$x = 10$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since OM is an angle bisector, we know that $$\\\\angle\\\\;\\\\text{AOM}$$ and $$\\\\angle\\\\;\\\\text{MOB}$$ are equal.<br>\r\n$$x + 20 = 3x$$<br>\r\n$$3x \\\\;\u2013\\\\; x = 20$$<br>\r\n$$2x = 20$$<br>\r\n$$x = \\\\frac{20}{2}$$<br>\r\n$$x = 10$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since OM is an angle bisector, we know that $$\\\\angle\\\\;\\\\text{AOM}$$ and $$\\\\angle\\\\;\\\\text{MOB}$$ are equal.<br>\r\n$$x + 20 = 3x$$<br>\r\n$$3x \\\\;\u2013\\\\; x = 20$$<br>\r\n$$2x = 20$$<br>\r\n$$x = \\\\frac{20}{2}$$<br>\r\n$$x = 10$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since OM is an angle bisector, we know that $$\\\\angle\\\\;\\\\text{AOM}$$ and $$\\\\angle\\\\;\\\\text{MOB}$$ are equal.<br>\r\n$$x + 20 = 3x$$<br>\r\n$$3x \\\\;\u2013\\\\; x = 20$$<br>\r\n$$2x = 20$$<br>\r\n$$x = \\\\frac{20}{2}$$<br>\r\n$$x = 10$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"10\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Since OM is an angle bisector, we know that $$\\\\angle\\\\;\\\\text{AOM}$$ and $$\\\\angle\\\\;\\\\text{MOB}$$ are equal.<br>\r\n$$x + 20 = 3x$$<br>\r\n$$3x \\\\;\u2013\\\\; x = 20$$<br>\r\n$$2x = 20$$<br>\r\n$$x = \\\\frac{20}{2}$$<br>\r\n$$x = 10$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Since OM is an angle bisector, we know that $$\\\\angle\\\\;\\\\text{AOM}$$ and $$\\\\angle\\\\;\\\\text{MOB}$$ are equal.<br>\r\n$$x + 20 = 3x$$<br>\r\n$$3x \\\\;\u2013\\\\; x = 20$$<br>\r\n$$2x = 20$$<br>\r\n$$x = \\\\frac{20}{2}$$<br>\r\n$$x = 10$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If an angle bisector divides an angle measuring $$15^{\\\\circ}$$, what would be the measure of the individual angles thus formed?\",\n                    \"text\": \"If an angle bisector divides an angle measuring $$15^{\\\\circ}$$, what would be the measure of the individual angles thus formed?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Each individual angle will measure half of $$15^{\\\\circ}$$, that is $$7.5^{\\\\circ}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$8.5^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each individual angle will measure half of $$15^{\\\\circ}$$, that is $$7.5^{\\\\circ}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$20^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each individual angle will measure half of $$15^{\\\\circ}$$, that is $$7.5^{\\\\circ}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$35^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each individual angle will measure half of $$15^{\\\\circ}$$, that is $$7.5^{\\\\circ}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$7.5^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Each individual angle will measure half of $$15^{\\\\circ}$$, that is $$7.5^{\\\\circ}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Each individual angle will measure half of $$15^{\\\\circ}$$, that is $$7.5^{\\\\circ}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The red line represents the angle bisector of a ____ angle.\",\n                    \"text\": \"The red line represents the angle bisector of a ____ angle. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Practice-Problems-2-3.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The ray bisects a straight angle into two right angles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Right angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The ray bisects a straight angle into two right angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Acute angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The ray bisects a straight angle into two right angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Reflex angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The ray bisects a straight angle into two right angles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Straight angle\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The ray bisects a straight angle into two right angles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The ray bisects a straight angle into two right angles.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Determine the value of x.\",\n                    \"text\": \"Determine the value of x. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Practice-Problems-3-1.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"According to the angle bisector theorem, an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.<br>\r\nThus, $$\\\\frac{\\\\text{PS}{\\\\text{RS}} = \\\\frac{\\\\text{PQ}}{\\\\text{RQ}}$$<br>\r\n$$\\\\Rightarrow \\\\frac{6}{x} = \\\\frac{12}{18}$$<br>\r\n\\\\Rightarrow x = \\\\frac{18 \\\\times 6}{12}$$<br>\r\n$$\\\\Rightarrow x = 9$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"18\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the angle bisector theorem, an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.<br>\r\nThus, $$\\\\frac{\\\\text{PS}{\\\\text{RS}} = \\\\frac{\\\\text{PQ}}{\\\\text{RQ}}$$<br>\r\n$$\\\\Rightarrow \\\\frac{6}{x} = \\\\frac{12}{18}$$<br>\r\n\\\\Rightarrow x = \\\\frac{18 \\\\times 6}{12}$$<br>\r\n$$\\\\Rightarrow x = 9$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"17\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the angle bisector theorem, an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.<br>\r\nThus, $$\\\\frac{\\\\text{PS}{\\\\text{RS}} = \\\\frac{\\\\text{PQ}}{\\\\text{RQ}}$$<br>\r\n$$\\\\Rightarrow \\\\frac{6}{x} = \\\\frac{12}{18}$$<br>\r\n\\\\Rightarrow x = \\\\frac{18 \\\\times 6}{12}$$<br>\r\n$$\\\\Rightarrow x = 9$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"14\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the angle bisector theorem, an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.<br>\r\nThus, $$\\\\frac{\\\\text{PS}{\\\\text{RS}} = \\\\frac{\\\\text{PQ}}{\\\\text{RQ}}$$<br>\r\n$$\\\\Rightarrow \\\\frac{6}{x} = \\\\frac{12}{18}$$<br>\r\n\\\\Rightarrow x = \\\\frac{18 \\\\times 6}{12}$$<br>\r\n$$\\\\Rightarrow x = 9$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"9\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"According to the angle bisector theorem, an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.<br>\r\nThus, $$\\\\frac{\\\\text{PS}{\\\\text{RS}} = \\\\frac{\\\\text{PQ}}{\\\\text{RQ}}$$<br>\r\n$$\\\\Rightarrow \\\\frac{6}{x} = \\\\frac{12}{18}$$<br>\r\n\\\\Rightarrow x = \\\\frac{18 \\\\times 6}{12}$$<br>\r\n$$\\\\Rightarrow x = 9$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"According to the angle bisector theorem, an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.<br>\r\nThus, $$\\\\frac{\\\\text{PS}{\\\\text{RS}} = \\\\frac{\\\\text{PQ}}{\\\\text{RQ}}$$<br>\r\n$$\\\\Rightarrow \\\\frac{6}{x} = \\\\frac{12}{18}$$<br>\r\n\\\\Rightarrow x = \\\\frac{18 \\\\times 6}{12}$$<br>\r\n$$\\\\Rightarrow x = 9$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-frequently-asked-questions-on-angle-bisector\">Frequently Asked Questions on Angle Bisector<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-e0a1c8e1-6140-46b3-b43d-d8b30d711265\" 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-e0a1c8e1-6140-46b3-b43d-d8b30d711265\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e0a1c8e1-6140-46b3-b43d-d8b30d711265\"><strong>How many angle bisectors can an angle have?<\/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-e0a1c8e1-6140-46b3-b43d-d8b30d711265\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A given angle can have only one angle bisector.<\/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-e0a1c8e1-6140-46b3-b43d-d8b30d711265\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e0a1c8e1-6140-46b3-b43d-d8b30d711265\"><strong>How many angle bisectors can a triangle have?<\/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-e0a1c8e1-6140-46b3-b43d-d8b30d711265\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A triangle can have only three angle bisectors since there are only three angles in a triangle.<\/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-e0a1c8e1-6140-46b3-b43d-d8b30d711265\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e0a1c8e1-6140-46b3-b43d-d8b30d711265\"><strong>What is an incenter?<\/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-e0a1c8e1-6140-46b3-b43d-d8b30d711265\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">An incentre is a point in a triangle where all three angle bisectors of a triangle meet with each other.<\/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-3-e0a1c8e1-6140-46b3-b43d-d8b30d711265\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e0a1c8e1-6140-46b3-b43d-d8b30d711265\"><strong>What is the importance of an angle bisector?<\/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-e0a1c8e1-6140-46b3-b43d-d8b30d711265\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When it comes to identifying the corresponding parts of similar triangles, angle bisectors can prove to be very useful. They help to define proofs related to the triangles.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is an Angle Bisector? An angle bisector is a ray or a line that divides an angle into two equal parts. The word \u201cbisector\u201d implies division into two equal parts.&nbsp; In the following image, $\\angle\\; \\text{ABC}$ is divided into two equal parts by the angle bisector BD. Can you think of examples of angle &#8230; <a title=\"Angle Bisector &#8211; Definition, Properties, Construction\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/angle-bisector\" aria-label=\"More on Angle Bisector &#8211; Definition, Properties, Construction\">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-25378","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\/25378","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=25378"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/25378\/revisions"}],"predecessor-version":[{"id":42282,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/25378\/revisions\/42282"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=25378"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=25378"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=25378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}