{"id":373,"date":"2022-04-12T10:23:14","date_gmt":"2022-04-12T10:23:14","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=373"},"modified":"2024-10-16T11:03:44","modified_gmt":"2024-10-16T11:03:44","slug":"r-7-triangle-angle-sum-property","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/r-7-triangle-angle-sum-property\/","title":{"rendered":"R.7 Triangle angle-sum property"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Triangle angle-sum property<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p><strong>Definition:<\/strong> The triangle angle-sum property states that the sum of the interior angles of a triangle is always equal to 180 degrees.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Key Points:<\/strong><\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding Angles:<\/strong>\n<ul class=\"wp-block-list\">\n<li>A triangle has three angles.<\/li>\n\n\n\n<li>Each angle is formed by the intersection of two sides of the triangle.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Mathematical Representation:<\/strong>\n<ul class=\"wp-block-list\">\n<li>If a triangle has angles A, B, and C, then: A+B+C=180<sup>\u2218<\/sup><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Types of Triangles:<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>Acute Triangle:<\/strong> All angles are less than 90 degrees.<\/li>\n\n\n\n<li><strong>Right Triangle:<\/strong> One angle is exactly 90 degrees.<\/li>\n\n\n\n<li><strong>Obtuse Triangle:<\/strong> One angle is greater than 90 degrees.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Applications:<\/strong>\n<ul class=\"wp-block-list\">\n<li>This property can be used to find missing angles in a triangle if two angles are known.<\/li>\n\n\n\n<li class=\"has-large-font-size\">It is foundational in solving various geometric problems and proofs.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d1f8cd\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83c\udf00 The&nbsp;diagram shows a&nbsp;triangle.<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>What&nbsp;is the value of&nbsp;x?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-12.png\" alt=\"\" class=\"wp-image-4806\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-12.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-12-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-12-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-12-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>x&nbsp;=&nbsp;_____\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>First,&nbsp;look at the interior angle measures in the&nbsp;triangle.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-7.png\" alt=\"\" class=\"wp-image-4807\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-7.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-7-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-7-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-7-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Set&nbsp;the sum of the interior angle measures of the triangle equal to&nbsp;180\u00b0.&nbsp;Solve for&nbsp;x.<\/p>\n\n\n\n<p>33\u00b0+x+66\u00b0=180\u00b0<\/p>\n\n\n\n<p>x+99\u00b0=180\u00b0                 Combine&nbsp;like&nbsp;terms<\/p>\n\n\n\n<p>x=81\u00b0                       Subtract&nbsp;99\u00b0&nbsp;from both&nbsp;sides<\/p>\n\n\n\n<p>So, x=81\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d9d6fd\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83c\udf00 The&nbsp;diagram shows a&nbsp;triangle.<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>What&nbsp;is the value of&nbsp;p?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-4.png\" alt=\"\" class=\"wp-image-4808\" style=\"aspect-ratio:1;width:390px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-4.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-4-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-4-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-4-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>p&nbsp;=_____&nbsp;\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>First,&nbsp;look at the interior angle measures in the&nbsp;triangle.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-1-1.png\" alt=\"\" class=\"wp-image-4810\" style=\"aspect-ratio:1;width:410px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-1-1.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-1-1-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-1-1-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-1-1-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Set&nbsp;the sum of the interior angle measures of the triangle equal to&nbsp;180\u00b0.&nbsp;Solve for&nbsp;p.<\/p>\n\n\n\n<p>78\u00b0+p+62\u00b0=180\u00b0<\/p>\n\n\n\n<p>p+140\u00b0=180\u00b0                                    Combine&nbsp;like&nbsp;terms<\/p>\n\n\n\n<p>p=40\u00b0Subtract&nbsp;140\u00b0&nbsp;                      from both&nbsp;sides<\/p>\n\n\n\n<p>So, p=40\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#fbfccb\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83c\udf00 The&nbsp;diagram shows a&nbsp;triangle.<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>What&nbsp;is the value of&nbsp;c?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-6.png\" alt=\"\" class=\"wp-image-4813\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-6.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-6-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-6-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-6-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>c&nbsp;=&nbsp;______\u00b0<\/p>\n\n\n\n<p>First,&nbsp;look at the interior angle measures in the&nbsp;triangle.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4814\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-1.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-1-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-1-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-1-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Set&nbsp;the sum of the interior angle measures of the triangle equal to&nbsp;180\u00b0.&nbsp;Solve for&nbsp;c.<\/p>\n\n\n\n<p>32\u00b0+c+98\u00b0=180\u00b0<\/p>\n\n\n\n<p>c+130\u00b0=180\u00b0                       Combine&nbsp;like&nbsp;terms<\/p>\n\n\n\n<p>c+130\u00b0=180\u00b0                    Combine&nbsp;like&nbsp;terms<\/p>\n\n\n\n<p>So, c=50\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/79930\/511\/362\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-90.png\" alt=\"\" class=\"wp-image-6758\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-90.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-90-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-90-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-90-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-91.png\" alt=\"\" class=\"wp-image-6759\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-91.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-91-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-91-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-91-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Triangle angle-sum property Key notes: Definition: The triangle angle-sum property states that the sum of the interior angles of a triangle is always equal to 180 degrees. Key Points: Learn with an example \ud83c\udf00 The&nbsp;diagram shows a&nbsp;triangle. What&nbsp;is the value of&nbsp;x? x&nbsp;=&nbsp;_____\u00b0 First,&nbsp;look at the interior angle measures in the&nbsp;triangle. Set&nbsp;the sum of the interior<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/r-7-triangle-angle-sum-property\/\">Continue reading <span class=\"screen-reader-text\">&#8220;R.7 Triangle angle-sum property&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-373","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.1.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"Triangle angle-sum property Key notes: Definition: The triangle angle-sum property states that the sum of the interior angles of a triangle is always equal to 180 degrees. Key Points: Understanding Angles: A triangle has three angles. Each angle is formed by the intersection of two sides of the triangle. 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