[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522972-105":59,"doc-detail-522972-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-angles-find-the-measure-of-the-arc-or-angle","Secant Angles - Find the measure of the arc or angle","","Worksheet for Infinite Geometry focused on secant angles. Multiple diagram-based problems ask students to find the measure of indicated arcs and angles, assuming segments that appear tangent are tangent. Several exercises also require solving for algebraic expressions labeled with variables such as x using angle and arc relationships. The set includes problems with given degree measures and composite expressions to determine missing angle or arc values.",{"@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-angles-find-the-measure-of-the-arc-or-angle/522972/",{"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-angles-find-the-measure-of-the-arc-or-angle/522972.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 do the problems ask you to find?","Question",{"text":112,"@type":113},"They ask for the measure of an indicated arc or angle shown on each geometry diagram.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What assumption is used when lines appear tangent?",{"text":117,"@type":113},"The worksheet states that lines which appear tangent are treated as tangent in the calculations.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you handle the problems labeled “Solve for x”?",{"text":121,"@type":113},"Use the given angle/arc relationships from the diagrams to form equations and determine the value of 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},522972,1791489725,{"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 Angles Date  Period   \nFind the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.  \n1)  \n3)  \n5)  \n7)  \nR  \n? P 175°  \nS  \n55°  \nA  \nQ  \nG  \n?  \nR  \nQ ?  \n194°  \nP  \n70°  \nA E  \nD 85°  \nB  \nC  \n?  \n2)  \n4)  \n6)  \n8)  \nR  \n?  \nQ  \n140°  \nT  \nUF  \n53° V ?  \n175° S  \nT  \n144°  \nC  \nA  \nSolve for x. Assume that lines which appear tangent are tangent.  \n9)  \nQ  \n141x − 1  \n10)  \n12x + 8  \n50°  \nD  \nS  \nR  \n11)  \nH  \n55°  \nL  \nE  \n60°  \nF  \nG 5x + 15  \n12)  \n15x + 11  \nD  \nE  \n88°  \nC  \n13)  \nS  \nR  \n9x − 3 P  \n124°  \nC  \nQ  \n197°  \n14)  \nG  \n17x − 2  \nFind the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.  \n15) Find mKLM  \nK  \nL  \n17) Find mRB  \nD  \n~~ ~~ 5x − 10  \nC  \nB  \n13x + 7  \n16) Find m∠QPR  \n26x − 2 P  \nQ  \nR  \n131°  \nS  \n18x + 1 V  \n18) Find mBC  \n8x + 11  \nCB  \n8x + 6  \nA  \nF  \n9x − 7 D  \nKuta Software-Infinite Geometry Name   \nSecant Angles Date  Period   \nFind the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.  \n1)  \n3)  \n5)  \n7)  \nR  \n? P 175°  \nS  \n55°  \nA  \nQ  \n115°  \nG  \n?  \n59°  \nR  \nQ ?  \n194°  \nP  \n97°  \n70°  \nA E  \nD 85°  \nB  \nC  \n?  \n100°  \n2)  \n4)  \n6)  \n8)  \nR  \n?  \nQ  \n45°  \n53° V ? S  \n114°  \n144°  \n140°  \nT  \nU  \nT  \n175°  \nC  \n72°  \nF  \nA  \n180°  \nSolve for x. Assume that lines which appear tangent are tangent.  \n9)  \nQ  \n141x − 1 1  \n10)  \n12x + 8  \n50°  \nD  \nS  \nR  \n12  \n11)  \nH  \n10 13)  \nR  \n55°  \nL  \nE  \n60°  \nF  \nG 5x + 15  \nS  \n9x − 3 P  \n124°  \nC  \nQ  \n197°  \n12)  \n14)  \nE  \n88°  \nC  \n15x + 11  \nD  \n11  \nF   E 9x − 7  \nG  \n17x − 2 12  \n6  \nFind the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.  \n15) Find mKLM  \nK  \nL  \n282°  \n17) Find mRB  \nD  \n~~ ~~ 5x − 10  \nC  \nB  \n13x + 7  \n150°  \n16) Find m∠QPR  \nR  \n131°  \n26x − 2  \nQ  \n102°  \n18) Find mBC  \nSP  \n18x + 1 V  \n8x + 11  \nCB  \n8x + 6  \nA  \nF  \n9x − 7 D  \n75°  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaivLi0QqQfz7V","https://ap.wps.com/l/cbCaivLi0QqQfz7V","pdf",42349,"English","# Find the measure of the arc or angle\n## Solve for x","[{\"question\":\"What do the problems ask you to find?\",\"answer\":\"They ask for the measure of an indicated arc or angle shown on each geometry diagram.\"},{\"question\":\"What assumption is used when lines appear tangent?\",\"answer\":\"The worksheet states that lines which appear tangent are treated as tangent in the calculations.\"},{\"question\":\"How do you handle the problems labeled “Solve for x”?\",\"answer\":\"Use the given angle/arc relationships from the diagrams to form equations and determine the value of x.\"}]","Secant Angles - Find the measure of the arc or angle | PDF",1791426362]