[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-362023-105":59,"doc-detail-362023-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","angle-pair-relationships-b-complementary-supplementary-vertical-and-adjacent-angles","Angle Pair Relationships (B) - Complementary, Supplementary, Vertical, and Adjacent Angles","","Angle Pair Relationships (B) focuses on solving geometry problems involving complementary angles, supplementary angles, vertical angles, and adjacent angles. The worksheet prompts students to identify the relationship for given angle pairs and then find missing angle measures by setting up equations and solving for x. It includes multi-part sets of algebraic angle expressions, a structured word problem with a right-angle corner split into two parts, and an answer key providing both equations and final angle measures.",{"@graph":69,"@context":123},[70,84,106],{"@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-pair-relationships-b-complementary-supplementary-vertical-and-adjacent-angles/362023/",{"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-pair-relationships-b-complementary-supplementary-vertical-and-adjacent-angles/362023.png","ImageObject",300,407,{"name":92,"@type":93},"McGucket","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",17,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What relationships are used in Angle Pair Relationships (B)?","Question",{"text":113,"@type":114},"The worksheet uses complementary angles (sum to 90°), supplementary angles (sum to 180°), vertical angles (equal), and adjacent angles (share a vertex and a side).","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you find a missing angle when the angles are complementary or supplementary?",{"text":118,"@type":114},"Write an equation using the given sum (90° for complementary, 180° for supplementary), solve for x, and then substitute to get each angle’s measure.",{"name":120,"@type":111,"acceptedAnswer":121},"What method is used for vertical angles in these problems?",{"text":122,"@type":114},"Set the expressions for the two vertical angles equal to each other, solve for x, and then compute both angle measures.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},362023,1790243630,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},1236954412713,"https://us-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name:  \n______________________________________  \nRemember: Complementary angles sum to 90° . Supplementary angles sum to 180° . Vertical angles are equal. Adjacent angles share a vertex and a side.  \nAngle Pair Relationships (B)  \nDirections: Use your knowledge of angle pair relationships to answer each question.  \nPart 1—Identify the Relationship and Find the Missing Angle  \n1.)  \nRelationship:    \nx =   3.)  \nRelationship:    \nx =  \n_______  \nRelationship:    \nx =  \n_______  \n4.)  \nRelationship:    \nx =  \n_______  \nPart 2—Find the Missing Angle: Write an equation and solve for x.  \nEquation:     \nx =  \n_______  \nEquation:    \nx =  \n_______  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n7.)  \nEquation:     \nx =    \n9.)  \nEquation:     \nx =  \n_______  \n8.)  \nEquation:    \nEquation:    \nx =  \n_______  \nPart 3—Write and Solve an Equation  \n11.) Two angles are complementary. One is 4 times the other. Find both angles.  \nEquation:   Answer:    \n12.) Two angles are supplementary. One is 20° less than 3 times the other. Find both angles.  \nEquation:   Answer:    \n13.) Two vertical angles measure (6x − 5)° and (4x + 19)° . Find x and both angle measures.  \nEquation:   Answer:    \n14.) Two complementary angles measure (3x + 8)° and (x + 2)° . Find x and both angle measures.  \nEquation:   Answer:    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nWord Problem  \n15.) A right angle corner is divided by a decorative line into two parts.  \nOne part measures (2x + 5)° and the other measures (x + 10)° .  \nFind x and both angle measures.  \nEquation:    \nAnswer:    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nPart 1:  \n1.) Vertical angles. x = 83°  \n2.) Complementary angles. x = 49°  \n3.) Supplementary angles. x = 52°  \n4.) Complementary angles. x = 35°  \nPart 2:  \n5.) 67+x=180 → x=180−67 x = 113°  \n6.) 19+x=90 → x=90−19 x = 71°  \n7.) Vertical: x=97° x = 97°  \n8.) 155+x=180 → x=180−155 x = 25°  \n9.) 74+x=90 → x=90−74 x = 16°  \n10.) Vertical: x=42° x = 42°  \nPart 3:  \n11.) 5x=90 → x=18° and 4x=72°  \n12.) x+(3x−20)=180 → 4x=200 → x=50°, 3(50)−20=130°  \n13.) 6x−5=4x+19 → 2x=24 → x=12, angles=67°  \n14.) 4x+10=90 → 4x=80 → x=20, angles=68° and 22°  \nWord Problem:  \n15.) (2x+5)+(x+10)=90 → 3x+15=90 → 3x=75 → x=25 x=25, angles=55° and 35°  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaiiZkr5xpErKO","https://ap.wps.com/l/cbCaiiZkr5xpErKO","pdf",928101,"English","# Angle Pair Relationships (B)\n## Part 1—Identify the Relationship and Find the Missing Angle\n## Part 2—Find the Missing Angle\n## Part 3—Write and Solve an Equation\n## Word Problem\n## Answer Key","[{\"question\":\"What relationships are used in Angle Pair Relationships (B)?\",\"answer\":\"The worksheet uses complementary angles (sum to 90°), supplementary angles (sum to 180°), vertical angles (equal), and adjacent angles (share a vertex and a side).\"},{\"question\":\"How do you find a missing angle when the angles are complementary or supplementary?\",\"answer\":\"Write an equation using the given sum (90° for complementary, 180° for supplementary), solve for x, and then substitute to get each angle’s measure.\"},{\"question\":\"What method is used for vertical angles in these problems?\",\"answer\":\"Set the expressions for the two vertical angles equal to each other, solve for x, and then compute both angle measures.\"}]","Angle Pair Relationships (B) - Complementary, Supplementary, Vertical, and Adjacent Angles | PDF",1790146286]