[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522971-105":59,"doc-detail-522971-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","secant-tangent-and-tangent-tangent-angles-geometry-worksheet","Secant-Tangent and Tangent-Tangent Angles - Geometry Worksheet","","This document provides a collection of geometry practice problems focused on calculating arc measures and angles formed by secants and tangents to a circle. It includes various diagrams with labeled arcs and angles, requiring students to apply geometric theorems to solve for unknown variables like x or specific angular values. The content is structured as an educational worksheet designed for students to master circle geometry principles, including relationships between intersection points and circle measurements, providing a comprehensive set of exercises for exam preparation and conceptual reinforcement.",{"@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/secant-tangent-and-tangent-tangent-angles-geometry-worksheet/522971/",{"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/secant-tangent-and-tangent-tangent-angles-geometry-worksheet/522971.png","ImageObject",300,407,{"name":92,"@type":93},"Rizky","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What geometric concepts are addressed in this worksheet?","Question",{"text":112,"@type":113},"The worksheet covers problems involving secant-tangent and tangent-tangent angles, specifically focusing on finding the measure of indicated arcs or angles and solving for variables within these geometric configurations.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the problems structured in the document?",{"text":117,"@type":113},"The document is structured as a series of numbered practice problems, some including diagrams that depict circles with secant or tangent lines, accompanied by algebraic expressions or degree measurements.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the objective of the problems asking to 'solve for x'?",{"text":121,"@type":113},"These problems require students to apply circle geometry theorems to set up algebraic equations based on the relationships between the given arc measures or angles, allowing them to calculate the unknown variable x.","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},522971,1791534349,{"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":52,"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},962085564807,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Kuta Software-Infinite Geometry Name   \nSecant-Tangent and Tangent-Tangent Angles Date  Period   \nFind the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.  \n1)  \n3)  \n5)  \n7)  \n2)  \n4)  \n6)  \n8)  \nU  \nQ  \nR  \nL  \n?  \n129°  \nSolve for x. Assume that lines which appear tangent are tangent.  \n9)  \n140°  \nH  \n G  \n3x + 13  \n11)  \n13)  \n5x − 5  \nS  \nV  \n5x + 17  \nW U  \n37x + 5  \n10)  \n12)  \n14)  \nV  \n7x − 10  \n38x + 2  \nFind the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.  \n15) Find mBD  \nD  \n12x − 24  \nB  \nC  \n6x − 12  \n−12 + 21x  \n16) Find m∠DEG  \nE  \n2x + 14  \nKuta Software-Infinite Geometry Name   \nSecant-Tangent and Tangent-Tangent Angles Date  Period   \nFind the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.  \n1)  \n3)  \n5)  \n7)  \n2)  \n4)  \n6)  \n8)  \nU  \n130°  \nQ  \n60°  \nR  \n153°  \nL  \n?  \n129°  \n34°  \nSolve for x. Assume that lines which appear tangent are tangent.  \n9)  \n140°  \nH  \n G  \n3x + 13 11  \n11)  \n13)  \n5x − 5  \nS  \n9  \nV  \n5x + 17  \nW U  \n37x + 5 6  \n10)  \n12)  \n14)  \nV 12  \n7x − 10  \n10  \n38x + 2 5  \nFind the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.  \n15) Find mBD  \nD  \n12x − 24  \nB  \nC  \n6x − 12  \n−12 + 21x  \n120°  \n16) Find m∠DEG  \nE  \n2x + 14  \n30°  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaitrvYobpik3p","https://ap.wps.com/l/cbCaitrvYobpik3p","pdf",48597,"English","# Secant-Tangent and Tangent-Tangent Angle Exercises\n## Problems for Determining Arcs and Angles\n## Problems for Solving Variable Equations","[{\"question\":\"What geometric concepts are addressed in this worksheet?\",\"answer\":\"The worksheet covers problems involving secant-tangent and tangent-tangent angles, specifically focusing on finding the measure of indicated arcs or angles and solving for variables within these geometric configurations.\"},{\"question\":\"How are the problems structured in the document?\",\"answer\":\"The document is structured as a series of numbered practice problems, some including diagrams that depict circles with secant or tangent lines, accompanied by algebraic expressions or degree measurements.\"},{\"question\":\"What is the objective of the problems asking to 'solve for x'?\",\"answer\":\"These problems require students to apply circle geometry theorems to set up algebraic equations based on the relationships between the given arc measures or angles, allowing them to calculate the unknown variable x.\"}]","Secant-Tangent and Tangent-Tangent Angles - Geometry Worksheet | PDF",1791426361]