[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523065-105":59,"doc-detail-523065-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","angle-bisectors-of-triangles-worksheet-infinite-geometry","Angle Bisectors of Triangles - Worksheet - Infinite Geometry","","Angle Bisectors of Triangles practice worksheet from Infinite Geometry, focusing on properties of angle bisectors in triangles. Problems ask students to compute specific angle measures or segment lengths created by angle bisectors, including cases with a single angle bisector and cases where all three angle bisectors intersect at an incenter point. Exercises use given angle measures and relationships among intersecting bisectors to determine unknown angles, such as m∠1, m∠2, and others, plus distance and segment values like PU, PT, and FT.",{"@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/angle-bisectors-of-triangles-worksheet-infinite-geometry/523065/",{"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/angle-bisectors-of-triangles-worksheet-infinite-geometry/523065.png","ImageObject",300,407,{"name":92,"@type":93},"Pentious","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-09","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What types of questions are included in this Angle Bisectors of Triangles worksheet?","Question",{"text":112,"@type":113},"It includes questions that find unknown angle measures and unknown segment lengths related to angle bisectors in a triangle.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does it mean when the worksheet says the three angle bisectors intersect at point P?",{"text":117,"@type":113},"It indicates a configuration where all bisectors meet at a single interior point, and the worksheet uses that setup to derive relationships for the unknown values.",{"name":119,"@type":110,"acceptedAnswer":120},"How are answers typically found in these problems?",{"text":121,"@type":113},"Each problem provides specific given angle measures or segment lengths, then asks for the measure or length of another angle or segment formed by the bisectors.","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},523065,1791667841,{"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":34,"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},1374404730887,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Kuta Software-Infinite Geometry Name   \nAngle Bisectors of Triangles Date  Period   \nEach figure shows a triangle with one of its angle bisectors.  \n1) m∠SUT= 34° . Find m∠1 .  \nS  \nU  \nP T  \n2) Find m∠SQR ifm∠2 = 13° .  \nS  \nP  \nR  \nQ  \nEach figure shows a triangle with its three angle bisectors intersecting at point P.  \n3) PT = 3. Find PU.  \nD  \nT  \nE  \nF  \n5) Find PW if PX = 5.  \nE  \nC  \n7) PY = 2 and HP = 3. Find HY.  \n4) Find PV if PW= 7.  \nH W  \n6) Find PD if PC = 8.  \nQ  \n8) Find AP ifPQ = 1 andAR = 2.  \nA  \nB  \nF  \n9) PT = 5 and FP = 7. Find FT.  \nF  \nUT  \nP  \nH S  \n11) Find PB if UC = 2 and UP = 3.  \nU  \nT  \n10) PT = 3 and CP = 8. Find CT.  \nG  \nE  \nC  \n12) PS = 3 and XP = 5. Find XS.  \nX  \nZ  \nEach figure shows a triangle with one of its angle bisectors.  \n13) Find x if m∠2 = 4x + 5 and m∠1 = 5x − 2.  \nY  P  Z  \n2 1  \nX  \n15) m∠1 = 7x + 7 and m∠VTU = 16x + 4.  \nFind m∠1 .  \nU  \n14) Find x if m∠2 = 1 + 28x and m∠XVW= 59x − 1.  \nX  \n16) Find m∠2 if m∠2 = 7x + 5 and m∠1 = 9x − 5.  \nD  \nKuta Software-Infinite Geometry Name   \nAngle Bisectors of Triangles Date  Period   \nEach figure shows a triangle with one of its angle bisectors.  \n1) m∠SUT= 34° . Find m∠1 .  \nS P T  \n17°  \n2) Find m∠SQR ifm∠2 = 13° .  \nS  \nP  \nR  \n26°  \nQ  \nEach figure shows a triangle with its three angle bisectors intersecting at point P.  \n3) PT = 3. Find PU.  \nD  \nT  \nE  \nF  \n3  \n5) Find PW if PX = 5.  \nE  \nC  \n5  \n7) PY = 2 and HP = 3. Find HY.  \n2.24  \n4) Find PV if PW= 7.  \nH W  \n7  \n6) Find PD if PC = 8.  \nQ  \n8  \n8) Find AP ifPQ = 1 andAR = 2.  \nA  \nB  \n2.24  \nF  \n9) PT = 5 and FP = 7. Find FT.  \nF  \nUT  \nP  \nH S  \n4.9  \n11) Find PB if UC = 2 and UP = 3.  \nU  \nT  \nG  \n10) PT = 3 and CP = 8. Find CT.  \nE  \nC  \n7.42  \n12) PS = 3 and XP = 5. Find XS.  \nX  \nZ  \n4  \n2.24  \nEach figure shows a triangle with one of its angle bisectors.  \n13) Find x if m∠2 = 4x + 5 and m∠1 = 5x − 2.  \nY  P  Z  \n2 1  \nX  \n7  \n15) m∠1 = 7x + 7 and m∠VTU = 16x + 4.  \nFind m∠1 .  \nV  \n42°  \nT  \nU  \n14) Find x if m∠2 = 1 + 28x and m∠XVW= 59x − 1.  \nX  \n1  \n16) Find m∠2 if m∠2 = 7x + 5 and m∠1 = 9x − 5.  \nD  \n40°  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaig4GDPtQoFVH","https://ap.wps.com/l/cbCaig4GDPtQoFVH","pdf",40764,"English","# Angle Bisectors of Triangles - Problems\n## Single angle bisector questions\n## Three angle bisectors intersecting at point P","[{\"question\":\"What types of questions are included in this Angle Bisectors of Triangles worksheet?\",\"answer\":\"It includes questions that find unknown angle measures and unknown segment lengths related to angle bisectors in a triangle.\"},{\"question\":\"What does it mean when the worksheet says the three angle bisectors intersect at point P?\",\"answer\":\"It indicates a configuration where all bisectors meet at a single interior point, and the worksheet uses that setup to derive relationships for the unknown values.\"},{\"question\":\"How are answers typically found in these problems?\",\"answer\":\"Each problem provides specific given angle measures or segment lengths, then asks for the measure or length of another angle or segment formed by the bisectors.\"}]","Angle Bisectors of Triangles - Worksheet - Infinite Geometry | PDF",1791426458]