[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523064-105":59,"doc-detail-523064-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","the-exterior-angle-theorem-geometry-practice-worksheet","The Exterior Angle Theorem - Geometry Practice Worksheet","","This document provides a comprehensive collection of geometry practice problems focused on the Exterior Angle Theorem. Designed for students and educators, the worksheet covers various problem types, including finding the measures of missing angles and solving for algebraic variables within geometric configurations. Each problem tests the application of the theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles. Through these exercises, learners can strengthen their understanding of triangle properties, improve their geometric proof and problem-solving skills, and gain proficiency in algebraic manipulation related to geometric shapes. The material is structured as a standard educational assessment tool, suitable for classroom use, homework assignments, or independent study sessions.",{"@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/the-exterior-angle-theorem-geometry-practice-worksheet/523064/",{"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/the-exterior-angle-theorem-geometry-practice-worksheet/523064.png","ImageObject",300,407,{"name":92,"@type":93},"Adam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-09","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the core principle taught in this worksheet?","Question",{"text":112,"@type":113},"The worksheet focuses on the Exterior Angle Theorem, which posits that an exterior angle of a triangle equals the sum of its two remote interior angles.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of problems are included?",{"text":117,"@type":113},"The problems require students to find the measure of specific angles given other geometric information and to solve for variables (x) within expressions that define angle measures.",{"name":119,"@type":110,"acceptedAnswer":120},"Who is the intended audience for this document?",{"text":121,"@type":113},"This document is designed for students and educators in a geometry curriculum who need practice or supplementary assessment materials.","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},523064,1791484020,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},1374404737137,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Geometry The Exterior Angle Theorem  \nFind the measure of each angle indicated.  \n1)  \n3)  \n5)  \n7)  \nU  \nT  \nS  \nU Y  \n?  \nT  \n2)  \n4)  \n6)  \n8)  \nName   \nDate  Period   \nT  \n80° ?  \n110°  \nU  \nSJ  \nQ  \nGP  \nR  \nSolve for x.  \n9)  \nR H  \nP  \nQ  \n10) T  \nS  \n11) C  \nD  \n12)  \nB  \n13)  \nC  \nA D B  \n14)  \nD B V  \n9x − 2 20x + 5 40°  \nC  \nFind the measure of the angle indicated.  \n15) Find m∠S.  \nJ R T  \n17) Find m∠FAB.  \n16) Find m∠H.  \nG H  \n89° 5x − 7  \nFD  \n18) Find m∠YDC.  \nB  \nKuta Software-Infinite Geometry Name   \nThe Exterior Angle Theorem Date  Period   \nFind the measure of each angle indicated.  \n1)  \n3)  \n5)  \n7)  \nU  \nT  \n70°  \nS  \nU Y  \n?  \nT  \n120°  \n95°  \n86°  \n2)  \n4)  \n6)  \n8)  \n65°  \n105°  \nT  \n80° ?  \n110°  \nU  \nSJ  \n30°  \nQ  \nGP  \nR  \n130°  \nSolve for x.  \n9)  \nR H  \nP  \nQ 12  \n10)  \n12)  \n14)  \nT  \nS  \n11  \nB  \n12  \nD B V  \n9x − 2 20x + 5 40°  \nC  \n3  \nFind the measure of the angle indicated.  \n15) Find m∠S.  \nJ R T  \n40°  \n17) Find m∠FAB.  \n75°  \n11)  \n13)  \nC ~~ ~~ D  \n46° −1 + 8x  \n18x + 5  \nB W  \n4  \nC  \nA D B  \n3  \n16) Find m∠H.  \nG H  \n89° 5x − 7  \nFD  \n38°  \n18) Find m∠YDC.  \nB  \n140°  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaimnr380vh54T","https://ap.wps.com/l/cbCaimnr380vh54T","pdf",42934,"English","# Geometry Practice Problems\n## Angle Measure Determination\n## Algebraic Solutions for Triangle Angles","[{\"question\":\"What is the core principle taught in this worksheet?\",\"answer\":\"The worksheet focuses on the Exterior Angle Theorem, which posits that an exterior angle of a triangle equals the sum of its two remote interior angles.\"},{\"question\":\"What types of problems are included?\",\"answer\":\"The problems require students to find the measure of specific angles given other geometric information and to solve for variables (x) within expressions that define angle measures.\"},{\"question\":\"Who is the intended audience for this document?\",\"answer\":\"This document is designed for students and educators in a geometry curriculum who need practice or supplementary assessment materials.\"}]","The Exterior Angle Theorem - Geometry Practice Worksheet | PDF",1791426457]