[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-464403-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-464403-en":130},{"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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","adding-a-ray-and-calculating-angle-worksheet-practice","Adding a Ray and Calculating Angle - Worksheet Practice","","Practice problems focus on using a ray to split a given angle into two smaller angles and then determining the missing angle measures. Students interpret labeled diagrams with points A, B, C, and D, where ray BD divides angle ABC. Each item asks either for the measure of the resulting angle DBC or for the measure of angle ABD, using given degree values. An included answer key provides the correct angle results for all questions.",{"@graph":14,"@context":72},[15,34,55],{"@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/adding-a-ray-and-calculating-angle-worksheet-practice/464403/",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/adding-a-ray-and-calculating-angle-worksheet-practice/464403.png","ImageObject",300,407,{"name":42,"@type":43},"Lucas Martin","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does ray BD do in the problems?","Question",{"text":62,"@type":63},"Ray BD cuts angle ABC into two smaller angles, creating angles ABD and DBC.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"Which angles are asked for in parts A and B?",{"text":67,"@type":63},"Part A specifies the measure of one smaller angle, while Part B asks for the measure of the other smaller angle (either angle DBC or angle ABD, depending on the problem).",{"name":69,"@type":60,"acceptedAnswer":70},"How are the answer choices determined?",{"text":71,"@type":63},"The measures follow from the fact that angle ABC is divided into two angles by the ray, using the given degree value for one part and angle relationships to find the missing measure.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},464403,1790768135,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":79,"read_time":110},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Adding a Ray and Calculating Angle  \nName:  \n\n| Solve each problem. 1)\u003Cbr>\u003Cbr>B |  |  | A | 2)\u003Cbr>4) | C\u003Cbr>\u003Cbr>\u003Cbr>68°\u003Cbr>B |  | A |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6. | Answers |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 79 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 37 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 3) | C | A |  |  | 148° |  |  | A |  |  |\n|  | \u003Cbr>|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  | C | |  |  |  |  |\n|  | B |  |  |  | B |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 56 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 71 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |\n| 5) | C\u003Cbr>\u003Cbr>B | A |  | 6) | C\u003Cbr>\u003Cbr>\u003Cbr>74°\u003Cbr>B |  | A |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 30 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 34 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 1 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1 1-6)[ 1](Math www.CommonCoreSheets.com 1 1-6)[ 1-6](Math www.CommonCoreSheets.com 1 1-6) 83 67 50 33 17 0  \n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n\nAdding a Ray and Calculating Angle  \nName: Answer Key  \n\n| Solve each problem. |  |  |  |  |  |  |  |  | Answers 1.  51°  2.  31°  3.  32°  4.  77°  5.  52°  6.  40°  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | D |  |  | 2)\u003Cbr>4)\u003Cbr>6) | C\u003Cbr>\u003Cbr>\u003Cbr>68°\u003Cbr>\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>\u003Cbr>B |  | A |  |  |\n|  | \u003Cbr>B |  | A |  |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 79 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 37 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  |\n|  | C\u003Cbr>\u003Cbr>B | A |  |  | D |  |  | A |  |\n|  |  |  |  |  | C | \u003Cbr>B\u003Cbr>\u003Cbr>71\u003Cbr>148°\u003Cbr>\u003Cbr>\u003Cbr>77\u003Cbr>|  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 56 degrees.\u003Cbr>B. What is the measure of angle DBC?\u003Cbr>C |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 71 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |\n|  |  |  |  |  | C\u003Cbr>\u003Cbr>\u003Cbr>74°\u003Cbr>\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>\u003Cbr>B |  | A |  |  |\n|  | \u003Cbr>D\u003Cbr>B | A |  |  |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 30 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 34 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 1 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1 1-6)[ 1](Math www.CommonCoreSheets.com 1 1-6)[ 1-6](Math www.CommonCoreSheets.com 1 1-6) 83 67 50 33 17 0  \n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n\nAdding a Ray and Calculating Angle  \nName:  \n\n| Solve each problem. |  |  |  |  |  |  |  |  | Answers |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n","cbCaivjIALBNbXhh","https://ap.wps.com/l/cbCaivjIALBNbXhh","pdf",51899,"English","# Solve Each Problem\n## Draw and Label a Ray\n## Find Missing Angle Measures","[{\"question\":\"What does ray BD do in the problems?\",\"answer\":\"Ray BD cuts angle ABC into two smaller angles, creating angles ABD and DBC.\"},{\"question\":\"Which angles are asked for in parts A and B?\",\"answer\":\"Part A specifies the measure of one smaller angle, while Part B asks for the measure of the other smaller angle (either angle DBC or angle ABD, depending on the problem).\"},{\"question\":\"How are the answer choices determined?\",\"answer\":\"The measures follow from the fact that angle ABC is divided into two angles by the ray, using the given degree value for one part and angle relationships to find the missing measure.\"}]","Adding a Ray and Calculating Angle - Worksheet Practice | PDF"]