[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523084-105":59,"doc-detail-523084-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-quadrilaterals-worksheet","Angles in Quadrilaterals - Worksheet","","This educational worksheet from Kuta Software's Infinite Geometry series provides a structured collection of practice problems focused on calculating angles in quadrilaterals. The document presents a series of geometric figures where students must identify missing angle measures or solve for algebraic variables associated with those angles. By utilizing geometric principles, such as the sum of interior angles in a quadrilateral, the exercises challenge students to apply their knowledge of angle properties to both numerical and variable-based problems effectively.",{"@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-quadrilaterals-worksheet/523084/",{"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-quadrilaterals-worksheet/523084.png","ImageObject",300,407,{"name":92,"@type":93},"Stanley","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-09","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the primary objective of this worksheet?","Question",{"text":112,"@type":113},"The primary objective is to practice finding the measure of unknown angles in quadrilaterals or solving for variables that represent those angles.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What geometric properties are required to solve these problems?",{"text":117,"@type":113},"These problems require knowledge of the geometric properties of quadrilaterals, specifically that the sum of the interior angles of any quadrilateral is always 360 degrees.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the problems categorized?",{"text":121,"@type":113},"The problems are divided into two main types: those requiring the calculation of a specific angle measure given other known angles, and those requiring the solution of algebraic equations involving variables to determine an angle measure.","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},523084,1791667837,{"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":44,"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},2336477405376,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Kuta Software-Infinite Geometry Angles in Quadrilaterals  \nFind the measure of each angle indicated.  \n1)  \n3)  \nW   T  \n? 100°  \n100° 80°  \nV U  \nF   E  \n65° 110°  \nD  \n87°  \n?  \nG  \n2)  \n4)  \nName  Date  Period   \nD  \nB A  \nM L  \n\n| | ? |\n| --- | --- |\n\nJ K  \n5)  \nK   L  \n96° ?  \nM  \nJ  \n6)  \nT  \nW  \nU V  \n7) T  \n8)  \nS R  \nX Y  \n95° ?  \n85° 85°  \nW Z  \nSolve for x.  \n9)  \nF E  \n86° 94°  \n94° 11x − 2  \nG D  \n11)  \n13)  \nN  \nM  \nK L  \nE   F  \n76° 104°  \n104° 25x + 1  \nD G  \nFind the measure of each angle indicated.  \n15) m∠Y  \nX  \nW  \nZ  \n17) m∠M  \nL   M  \nK  \nN  \n10)  \n12)  \n14)  \nM ~~ ~~ J  \n17x + 8 66°  \n74° 110°  \nL K  \nR S  \n16x − 6  \n15x  \nQ T  \nV   W 104° 10x − 4  \n76° 104°  \nU T  \n16) m∠F  \nD  \nG F  \n18) m∠M  \nM  \nK J  \nKuta Software-Infinite Geometry Name   \nAngles in Quadrilaterals Date  Period   \nFind the measure of each angle indicated.  \n1)  \n3)  \n5)  \n7)  \nW   T  \n? 100°  \n100° 80°  \nV U  \n80°  \n? G  \n98°  \nF  \n65°  \nE 110°  \n87°  \nD  \nK L  \nM  \nJ  \n100°  \nT  \nS R  \n69°  \n2)  \n4)  \n6)  \n8)  \nD  \nB A  \n60°  \nM L  \n\n| | ? |\n| --- | --- |\n\nJ K  \n90°  \nT  \nW  \nU V  \n70°  \nX Y  \n95° ?  \n85° 85°  \nW Z  \n95°  \nSolve for x.  \n9)  \nF E  \n86° 94°  \n94° 11x − 2  \nG D  \n8  \n11)  \n13)  \nN  \nM  \nK L  \n5  \nE   F  \n76° 104°  \n104° 25x + 1  \nD G  \n3  \nFind the measure of each angle indicated.  \n15) m∠Y  \nX  \nW  \n118°  \nZ  \n17) m∠M  \nL   M  \nK  \nN  \n85°  \n10)  \n12)  \n14)  \nM ~~ ~~ J  \n17x + 8 66°  \n74° 110°  \nL K  \n6  \nR S  \n16x − 6  \n15x  \nQ T  \n6  \nV   W 104° 10x − 4  \n76° 104°  \nU T  \n8  \n16) m∠F  \nD  \nG F  \n90°  \n18) m∠M  \nM  \nK J  \n86°  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaimUOQ10678Dt","https://ap.wps.com/l/cbCaimUOQ10678Dt","pdf",39062,"English","# Calculating Angle Measures\n## Solving for Variables in Quadrilaterals","[{\"question\":\"What is the primary objective of this worksheet?\",\"answer\":\"The primary objective is to practice finding the measure of unknown angles in quadrilaterals or solving for variables that represent those angles.\"},{\"question\":\"What geometric properties are required to solve these problems?\",\"answer\":\"These problems require knowledge of the geometric properties of quadrilaterals, specifically that the sum of the interior angles of any quadrilateral is always 360 degrees.\"},{\"question\":\"How are the problems categorized?\",\"answer\":\"The problems are divided into two main types: those requiring the calculation of a specific angle measure given other known angles, and those requiring the solution of algebraic equations involving variables to determine an angle measure.\"}]","Angles in Quadrilaterals - Worksheet | PDF",1791426479]