[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-466918-105":59,"doc-detail-466918-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-answers","Why the Angles of a Triangle Add to 180 - Answers","","This answer key demonstrates how the three interior angles of a triangle relate to a straight line. It uses the principle that when triangle corners are fitted together on a line, the adjacent angles sum to 180°. The worksheet solves examples by finding the missing angle values and verifying the totals for multiple cases, including angles such as 60°, 50°, 40°, 58°, 70°, and the resulting 180° sums.",{"@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-answers/466918/",{"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-answers/466918.png","ImageObject",300,407,{"name":92,"@type":93},"Oliver","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"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 corners can be arranged along a straight line, and angles along a straight line add up to 180°.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find a missing angle in these problems?",{"text":117,"@type":113},"Use the 180° straight-line rule: add the known angles and subtract from 180° to get the missing angle.",{"name":119,"@type":110,"acceptedAnswer":120},"What values are shown in the answer key examples?",{"text":121,"@type":113},"The key includes worked angle sets such as 180° with pairs like 50° and 40°, and it solves missing angles like 58° and 70° while confirming totals of 180°.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},466918,1792956765,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},8796095461610,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Why the Angles of a Triangle Add to 180  \nName:  \n\n| The three corners of the triangle are fitted together on a 1) |  |  | straight line.\u003Cbr>60° | 1.\u003Cbr>2.\u003Cbr>3. | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| | |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n| Together they measure\u003Cbr>2)\u003Cbr>| The missing angle is |  | 58° |  |  |  |  |  |\n|  | | ? |  |  |  |  |  |  |\n| Together they measure\u003Cbr>3)\u003Cbr>\u003Cbr>Together they measure | The missing angle is\u003Cbr>\u003Cbr>The missing angle is |  | 66° |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 3 1-3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3 1-3)[ 3](Math www.CommonCoreSheets.com 3 1-3)[ 1-3](Math www.CommonCoreSheets.com 3 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°, 50° |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| | |  |  |  |  |  |\n|  |  |  | 180°, 40° |  |  |  |\n|  |  |  | 180°, 70° |  |  |  |\n|  |  |  |  |  |  |  |\n| Together they measure 180°\u003Cbr>2)\u003Cbr>| The missing angle is 50°\u003Cbr>\u003Cbr>? 82°\u003Cbr>58° |  |  |  |  |  |\n| Together they measure 180°\u003Cbr>3)\u003Cbr>\u003Cbr>Together they measure 180° | The missing angle is 40°\u003Cbr>\u003Cbr>The missing angle is 70° |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 3 1-3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3 1-3)[ 3](Math www.CommonCoreSheets.com 3 1-3)[ 1-3](Math www.CommonCoreSheets.com 3 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>\u003Cbr>? 82°\u003Cbr>58° |  |  |\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)  \n3  \n1-3  \n67 33 0  \n\n|  |  |  |\n| --- | --- | --- |","cbCaiec31zYzPn7m","https://ap.wps.com/l/cbCaiec31zYzPn7m","pdf",42849,"English","# Why the Angles of a Triangle Add to 180\n## Straight line angle sum (180°)\n## Find the missing angle values","[{\"question\":\"Why do the angles of a triangle add to 180°?\",\"answer\":\"Because the three triangle corners can be arranged along a straight line, and angles along a straight line add up to 180°.\"},{\"question\":\"How do you find a missing angle in these problems?\",\"answer\":\"Use the 180° straight-line rule: add the known angles and subtract from 180° to get the missing angle.\"},{\"question\":\"What values are shown in the answer key examples?\",\"answer\":\"The key includes worked angle sets such as 180° with pairs like 50° and 40°, and it solves missing angles like 58° and 70° while confirming totals of 180°.\"}]","Why the Angles of a Triangle Add to 180 - Answers | PDF",1790772056]