[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-466921-105":59,"doc-detail-466921-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","why-the-angles-of-a-triangle-add-to-180-466921","Why the Angles of a Triangle Add to 180","","Worksheet practice on the triangle angle sum property: when the three triangle corners are arranged so two adjacent angles form a straight line, the exterior and interior angles combine to create a total of 180°. The problems ask students to compute “together they measure” totals and identify missing angles by using the straight-line and triangle relationships. An included answer key lists example missing angles such as 71°, 58°, and 52°.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/why-the-angles-of-a-triangle-add-to-180-466921/466921/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/why-the-angles-of-a-triangle-add-to-180-466921/466921.png","ImageObject",300,407,{"name":92,"@type":93},"Oliver","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Why do the angles of a triangle add to 180°?","Question",{"text":112,"@type":113},"Because the three triangle angles can be related to a straight line, and angles on a straight line sum to 180°.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find a missing triangle angle in these problems?",{"text":117,"@type":113},"Use the given “together they measure” total (180°) and subtract the known angle(s) to get the missing angle.",{"name":119,"@type":110,"acceptedAnswer":120},"What does “together they measure 180°” mean on this worksheet?",{"text":121,"@type":113},"It indicates the relevant angles combined equal 180°, following the straight-line angle sum relationship used to solve for missing 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|\n| --- | --- | --- | --- | --- | --- | --- |\n| | |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n| Together they measure\u003Cbr>2)\u003Cbr>| The missing angle is\u003Cbr>|  |  |  |  |  |\n| Together they measure\u003Cbr>3)\u003Cbr>\u003Cbr>Together they measure | The missing angle is\u003Cbr>\u003Cbr>The missing angle is |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 5 1-3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5 1-3)[ 5](Math www.CommonCoreSheets.com 5 1-3)[ 1-3](Math www.CommonCoreSheets.com 5 1-3) 67 33 0  \nWhy the Angles of a Triangle Add to 180  \nName: Answer Key  \n\n| The three corners of the triangle are fitted together on a straight line. 1) |  | 1.\u003Cbr>2.\u003Cbr>3. | Answers\u003Cbr>180°, 71° |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| | |  |  |  |  |  |\n|  |  |  | 180°, 58° |  |  |  |\n|  |  |  | 180°, 52° |  |  |  |\n|  |  |  |  |  |  |  |\n| Together they measure 180°\u003Cbr>2)\u003Cbr>| The missing angle is 71°\u003Cbr>|  |  |  |  |  |\n| Together they measure 180°\u003Cbr>3)\u003Cbr>\u003Cbr>Together they measure 180° | The missing angle is 58°\u003Cbr>\u003Cbr>The missing angle is 52° |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 5 1-3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5 1-3)[ 5](Math www.CommonCoreSheets.com 5 1-3)[ 1-3](Math www.CommonCoreSheets.com 5 1-3) 67 33 0  \nWhy the Angles of a Triangle Add to 180  \nName:  \n\n| The three corners of the triangle are fitted together on a straight line. 1) |  | 1.\u003Cbr>2.\u003Cbr>3. | Answers |\n| --- | --- | --- | --- |\n| | |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n| Together they measure\u003Cbr>2)\u003Cbr>| The missing angle is\u003Cbr>|  |  |\n| Together they measure\u003Cbr>3)\u003Cbr>\u003Cbr>Together they measure | The missing angle is\u003Cbr>\u003Cbr>The missing angle is |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n5  \n1-3  \n67 33 0  \n\n|  |  |  |\n| --- | --- | --- |","cbCaio9PMwOyspQV","https://ap.wps.com/l/cbCaio9PMwOyspQV","pdf",42848,"English","# The Triangle Angle Sum Property\n## Together they measure 180°\n## Find the missing angle","[{\"question\":\"Why do the angles of a triangle add to 180°?\",\"answer\":\"Because the three triangle angles can be related to a straight line, and angles on a straight line sum to 180°.\"},{\"question\":\"How do you find a missing triangle angle in these problems?\",\"answer\":\"Use the given “together they measure” total (180°) and subtract the known angle(s) to get the missing angle.\"},{\"question\":\"What does “together they measure 180°” mean on this worksheet?\",\"answer\":\"It indicates the relevant angles combined equal 180°, following the straight-line angle sum relationship used to solve for missing angles.\"}]","Why the Angles of a Triangle Add to 180 | PDF",1790772058]