[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359082-105":59,"doc-detail-359082-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","exterior-angles-of-a-triangle-math-practice-worksheet","Exterior Angles of a Triangle - Math Practice Worksheet","","This educational resource provides a structured practice worksheet focused on the Exterior Angle Theorem in geometry. The document explains that an exterior angle of a triangle is equivalent to the sum of its two non-adjacent interior angles. It includes a set of problems for students to solve, requiring them to calculate the exterior angle using given interior angles, and concludes with a practical word problem application. An answer key is provided at the end for self-assessment and verification of student work, making it a comprehensive tool for K-12 mathematics instruction.",{"@graph":69,"@context":123},[70,84,106],{"@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/exterior-angles-of-a-triangle-math-practice-worksheet/359082/",{"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/exterior-angles-of-a-triangle-math-practice-worksheet/359082.png","ImageObject",300,407,{"name":92,"@type":93},"Rhys","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-07","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the Exterior Angle Theorem?","Question",{"text":113,"@type":114},"The Exterior Angle Theorem states that an exterior angle of a triangle equals the sum of the two nonadjacent (remote) interior angles.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you find the missing exterior angle if you know the two remote interior angles?",{"text":118,"@type":114},"To find the exterior angle x, simply add the two nonadjacent interior angles together.",{"name":120,"@type":111,"acceptedAnswer":121},"If an exterior angle is 142° and one remote interior angle is 68°, how do you find the other remote interior angle?",{"text":122,"@type":114},"You subtract the known interior angle from the exterior angle, which is 142° - 68° = 74°.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},359082,1790764269,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":39,"preview_page_count":4},687207024643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Name:    \nExterior Angles of a Triangle (A)  \nRemember: Exterior Angle Theorem: an exterior angle of a triangle equals the sum of the two nonadjacent (remote) interior angles. Find x by adding the two blue interior angles shown.  \nDirections: Find the exterior angle x using the Exterior Angle Theorem. Show your work.  \n\n| 1.) | | X =   | 2.) | | X =   |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| 3.) | | X =   | \u003Cbr>X =   |  |  |  |\n| 5.) | | X =   | 6.) | |  |  |\n| 7.) | |  | 8.) | |  | X =   |\n\nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n\n| 9.) | | 10.) | |\n| --- | --- | --- | --- |\n| X =   |  | X =   |  |\n\n11.) Word Problem  \nAn exterior angle of a triangle measures 142° .  \nOne remote interior angle is 68° . What is the other remote interior angle?  \nShow your work.  \n68°  \n142°  \n?°  \nAnswer:    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nAnswers:  \n1.) x = 50° + 70° = 120°  \n2.) x = 35° + 95° = 130°  \n3.) x = 40° + 65° = 105°  \n4.) x = 55° + 80° = 135°  \n5.) x = 30° + 48° = 78°  \n6.) x = 62° + 74° = 136°  \n7.) x = 25° + 115° = 140°  \n8.) x = 44° + 96° = 140°  \n9.) x = 38° + 72° = 110°  \n10.) x = 51° + 83° = 134°  \nWord Problem:  \n11.) 142− 68 = 74°  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaiquJCCB3xV2v","https://ap.wps.com/l/cbCaiquJCCB3xV2v","pdf",1909878,"English","# Exterior Angle Theorem Practice\n## Problem Set\n## Word Problem Application\n## Answer Key","[{\"question\":\"What is the Exterior Angle Theorem?\",\"answer\":\"The Exterior Angle Theorem states that an exterior angle of a triangle equals the sum of the two nonadjacent (remote) interior angles.\"},{\"question\":\"How do you find the missing exterior angle if you know the two remote interior angles?\",\"answer\":\"To find the exterior angle x, simply add the two nonadjacent interior angles together.\"},{\"question\":\"If an exterior angle is 142° and one remote interior angle is 68°, how do you find the other remote interior angle?\",\"answer\":\"You subtract the known interior angle from the exterior angle, which is 142° - 68° = 74°.\"}]","Exterior Angles of a Triangle - Math Practice Worksheet | PDF",1790136061]