[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-635144-105":59,"doc-detail-635144-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","angles-in-a-triangle-geometry-support-guide","Angles in a Triangle - Geometry Support Guide","","This educational document provides a fundamental geometric demonstration regarding the sum of interior angles in a triangle. By outlining a straightforward practical experiment, it illustrates that the three angles of any triangle, when detached and placed adjacent to each other, form a straight line, thereby proving that their sum is exactly 180 degrees. The content is designed to assist learners in visualizing the theoretical properties of polygons through tangible, hands-on activities, reinforcing mathematical concepts through simple, descriptive steps and instructional diagrams that confirm the theorem that a triangle's interior angles consistently total 180 degrees.",{"@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/angles-in-a-triangle-geometry-support-guide/635144/",{"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/angles-in-a-triangle-geometry-support-guide/635144.png","ImageObject",300,407,{"name":92,"@type":93},"Aditya","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-10-22",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},"What is the sum of the angles in a triangle?","Question",{"text":112,"@type":113},"The angles in any triangle always add up to 180 degrees.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How can you demonstrate the sum of angles in a triangle?",{"text":117,"@type":113},"You can demonstrate this by drawing a triangle, marking its three angles, cutting them out, and placing them together to form a straight line, which represents 180 degrees.",{"name":119,"@type":110,"acceptedAnswer":120},"What materials are needed to perform the demonstration?",{"text":121,"@type":113},"To perform this demonstration, you only need a piece of paper, a pen or pencil to draw the triangle, and scissors to cut out the angles.","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},635144,1792949320,{"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":8,"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":81},962085564549,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Name Date  \nANGLES IN A TRIANGLE  \nThe angles in a triangle add up to 180° .  \nThis can be shown using the following simple demonstration.  \n• Draw a triangle on a piece of paper. Mark the 3 angles a, b and c.  \n• Next cut out the three angles.  \n• Finally, put the angles a, b and c together. They should make a straight line when placed together, which is equivalent to 180° .","cbCaih23qzvBBw2S","https://ap.wps.com/l/cbCaih23qzvBBw2S","pdf",148871,"English","# Understanding Triangle Angles\n## Experimental Demonstration of the 180 Degree Sum","[{\"question\":\"What is the sum of the angles in a triangle?\",\"answer\":\"The angles in any triangle always add up to 180 degrees.\"},{\"question\":\"How can you demonstrate the sum of angles in a triangle?\",\"answer\":\"You can demonstrate this by drawing a triangle, marking its three angles, cutting them out, and placing them together to form a straight line, which represents 180 degrees.\"},{\"question\":\"What materials are needed to perform the demonstration?\",\"answer\":\"To perform this demonstration, you only need a piece of paper, a pen or pencil to draw the triangle, and scissors to cut out the angles.\"}]","Angles in a Triangle - Geometry Support Guide | PDF",1792675384]