[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523039-105":3,"detail-sidebar-cat-0-en-105":73,"doc-detail-523039-en":122},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":66,"head_meta":68,"extra_data":70,"updated_unix":72},105,"en","the-angle-addition-postulate-practice-problems","The Angle Addition Postulate - Practice Problems","","A geometry practice worksheet focused on the Angle Addition Postulate in Infinite Geometry. It provides multiple numbered problems where angle measures are given using algebraic expressions (such as 16x+4, 2x+125, 11x-1, and linear constants) and requires solving for unknown angle values or the variable x. Students must use angle relationships within labeled diagrams (e.g., KLM, FGH, GHI, HIJ, ABC) to compute missing measures. ",{"@graph":14,"@context":65},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/the-angle-addition-postulate-practice-problems/523039/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/the-angle-addition-postulate-practice-problems/523039.png","ImageObject",300,407,{"name":42,"@type":43},"Cipher","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",9,{"@type":57,"mainEntity":58},"FAQPage",[59],{"name":60,"@type":61,"acceptedAnswer":62},"Do the problems include both numeric angles and algebraic expressions?","Question",{"text":63,"@type":64},"Yes. Some problems give angle measures as numbers in degrees, while others use expressions containing x that must be solved.","Answer","https://schema.org",{"og:url":32,"og:type":67,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":69,"canonical":32},"index,follow",{"doc_id":71,"site_id":7},523039,1791688597,{"code":4,"msg":74,"data":75},"success",[76,80,84,87,92,97,102,107,111,114,118],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":77,"show_sort_weight":78,"slug":79},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":81,"show_sort_weight":82,"slug":83},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":85,"slug":86},70,"exam",{"id":88,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},5,"Comic",60,"comic",{"id":93,"doc_module":4,"doc_module_name":25,"category_name":94,"show_sort_weight":95,"slug":96},6,"Technology",50,"technology",{"id":98,"doc_module":4,"doc_module_name":25,"category_name":99,"show_sort_weight":100,"slug":101},7,"Healthcare",40,"healthcare",{"id":103,"doc_module":4,"doc_module_name":25,"category_name":104,"show_sort_weight":105,"slug":106},8,"Research & Report",30,"research-report",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":108,"show_sort_weight":109,"slug":110},"Religion & Spirituality",20,"religion-spirituality",{"id":109,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":109,"slug":113},"World Cup","world-cup",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":115,"slug":117},10,"Lifestyle","lifestyle",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":88,"slug":121},19,"General","general",{"code":4,"msg":74,"data":123},{"doc_id":71,"user_id":124,"nickname":42,"user_avatar":125,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":126,"file_id":127,"file_url":128,"file_type":129,"file_size":130,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":131,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":132,"faqs":133,"seo_title":134,"seo_description":12,"update_tm":135,"read_time":115,"preview_page_count":4},687208528416,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Kuta Software-Infinite Geometry Name   \nThe Angle Addition Postulate Date  Period   \n1) Find m∠KLM if m∠KLB = 26° 2) Find m∠FGHifm∠FGB = 105°  \nand m∠BLM = 60° . and m∠BGH = 54° .  \nM  \nK L  \n3) m∠GHC = 60° and m∠CHI = 104° . Find m∠GHI.  \nH  \nG  \n5) m∠FMN= 99° and m∠LMF = 36° . Find m∠LMN.  \nM  \nL  \n7) Find m∠JKL ifm∠SKL = 31° and m∠JKS = 52° .  \n L  K  \nS  \nJ  \n9) Find m∠KLUifm∠ULM = 20° and m∠KLM = 110° .  \nL K  \nM  \nG  \nH  \n4) Find m∠WVUifm∠ZVU = 62° and m∠WVZ = 50° .  \nWZ  \nV U  \n6) Find m∠WDC if m∠EDC = 145° and m∠EDW= 61° .  \nE  \nD  \n8) Find m∠IHQ ifm∠IHG = 176° and m∠QHG = 130° .  \nI  \nH  \nG  \n10) Find m∠IJA ifm∠AJK = 61° and m∠IJK = 153° .  \nK  \nJ  \nI  \n11) m∠HGF = 16x + 4, m∠EGF = 110°, and m∠HGE = 3x + 11. Find x.  \nG H   \n E   \n13) m∠FCD = x + 41, m∠BCF = x + 78, and m∠BCD = 95° . Find x.  \nB  \nC  \n15) m∠GFZ = 38°, m∠ZFE = 2x + 125, and m∠GFE = x + 163. Find x.  \nF  \nG  \n17) Find m∠HIWifm∠WIJ = 10x, m∠HIJ = 145°, and m∠HIW= 2x + 13.  \nI  \nH  \n19) m∠ZHG = 11x − 1, m∠IHZ = 24°, and m∠IHG = 12x + 13. Find m∠IHG.  \nG  \nH  \nI  \n12) m∠VUT= 175°, m∠VUJ = 17x − 3, and m∠JUT= 17x + 8. Find x.  \nV  \nU  \nT  \nJ  \n14) Find x ifm∠BJK = 146 + 2x, m∠IJK = 172°, and m∠IJB = 2x + 26.  \nI J K  \n16) Find x ifm∠LMN = 135°,  \nm∠LMV= −1 + 45x, and m∠VMN= 23x.  \nM N  \n18) m∠ABC = 17x + 8, m∠ABK = 42°, and m∠KBC = 12x − 4. Find m∠ABC.  \nA  \nB  \n20) m∠GFN= 4x + 10, m∠NFE = 14x + 3, and m∠GFE = 157° . Find m∠NFE.  \nE  \nF  \nG  \nKuta Software-Infinite Geometry Name   \nThe Angle Addition Postulate Date  Period   \n1) Find m∠KLM if m∠KLB = 26° 2) Find m∠FGHifm∠FGB = 105°  \nand m∠BLM = 60° . and m∠BGH = 54° .  \nM  \nK L  \n86°  \n3) m∠GHC = 60° and m∠CHI = 104° . Find m∠GHI.  \nH  \nG  \n164°  \n5) m∠FMN= 99° and m∠LMF = 36° . Find m∠LMN.  \nF  \nM  \nL  \n135°  \n7) Find m∠JKL ifm∠SKL = 31° and m∠JKS = 52° .  \nL K  \nS  \nJ  \n83°  \n9) Find m∠KLUifm∠ULM = 20° and m∠KLM = 110° .  \nL K  \nM  \n90°  \nG  \nH  \n159°  \n4) Find m∠WVUifm∠ZVU = 62° and m∠WVZ = 50° .  \nWZ  \nV U  \n112°  \n6) Find m∠WDC if m∠EDC = 145° and m∠EDW= 61° .  \nE  \nD  \n84°  \n8) Find m∠IHQ ifm∠IHG = 176° and m∠QHG = 130° .  \nI  \nH  \nG  \n46°  \n10) Find m∠IJA ifm∠AJK = 61° and m∠IJK = 153° .  \nK J  \n92°  \n11) m∠HGF = 16x + 4, m∠EGF = 110°, and m∠HGE = 3x + 11. Find x.  \nG H   \n E  9  \n13) m∠FCD = x + 41, m∠BCF = x + 78, and m∠BCD = 95° . Find x.  \nB  \nC  \nF   \nD  \n−12  \n15) m∠GFZ = 38°, m∠ZFE = 2x + 125, and m∠GFE = x + 163. Find x.  \nF  \nG  \n0  \n17) Find m∠HIWifm∠WIJ = 10x, m∠HIJ = 145°, and m∠HIW= 2x + 13.  \nI  \nW  \nH  \n35°  \n19) m∠ZHG = 11x − 1, m∠IHZ = 24°, and m∠IHG = 12x + 13. Find m∠IHG.  \n G H  \nZ  \n133°  \n12) m∠VUT= 175°, m∠VUJ = 17x − 3, and m∠JUT= 17x + 8. Find x.  \nV   \nU  \nT   \n5  \nJ  \n14) Find x ifm∠BJK = 146 + 2x, m∠IJK = 172°, and m∠IJB = 2x + 26.  \nI J K  \n0  \n16) Find x ifm∠LMN = 135°,  \nm∠LMV= −1 + 45x, and m∠VMN= 23x.  \nM N  \n2  \n18) m∠ABC = 17x + 8, m∠ABK = 42°, and m∠KBC = 12x − 4. Find m∠ABC.  \nA  \nB  \n110°  \n20) m∠GFN= 4x + 10, m∠NFE = 14x + 3, and m∠GFE = 157° . Find m∠NFE.  \nE F  \n115°  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaini7gB48MJXU","https://ap.wps.com/l/cbCaini7gB48MJXU","pdf",50546,"English","# Practice Problems\n## Solve for angle measures and x","[{\"question\":\"Do the problems include both numeric angles and algebraic expressions?\",\"answer\":\"Yes. Some problems give angle measures as numbers in degrees, while others use expressions containing x that must be solved.\"}]","The Angle Addition Postulate - Practice Problems | PDF",1791426431]